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<span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">hello</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">.....</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">I have to submit</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">the resolution</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">of exercise</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">scilab</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">code</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">attachment</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">by</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">using the</span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">Runge Kutta</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">method</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">of order 4</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">and</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">euler</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">without using the</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">program</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">defined</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">functions</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">....</span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">and find no</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">error</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">กกกกกกกก</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">need help</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">please</span><br style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); "><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 16px; background-color: rgb(245, 245, 245); ">many thanks</span><div><font class="Apple-style-span" color="#333333" face="arial, sans-serif"><br></font></div><div><font class="Apple-style-span" color="#333333" face="arial, sans-serif"><br></font></div><div><font class="Apple-style-span" color="#333333" face="arial, sans-serif"><br></font><div><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); ">pd.</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); ">also</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); ">attached</span><span class="Apple-style-span" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); "> </span><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); ">the statement</span></div><div><span class="hps" style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 24px; background-color: rgb(245, 245, 245); "><br></span></div><div><span class="hps" style="color: rgb(51, 51, 51); background-color: rgb(245, 245, 245); "><p style="font-family: arial, sans-serif; font-size: 24px; "><span class="hps" style="font-size: 16px; ">The following</span><span class="Apple-style-span" style="font-size: 16px; "> </span><span class="hps" style="font-size: 16px; ">equations define</span><span class="Apple-style-span" style="font-size: 16px; "> </span><span class="hps" style="font-size: 16px; ">the concentrations of</span><span class="Apple-style-span" style="font-size: 16px; "> </span><span class="hps" style="font-size: 16px; ">three reactants</span><i><span style="font-size:11.0pt;
font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
minor-latin;mso-bidi-theme-font:minor-latin"><br>
<br>
dCa/dt= -20CaCc+2Cb<br>
<br>
dCb/dt=20CaCc-2Cb
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dCc/dt=
-20CaCc+2Cb-0.2Cc<o:p></o:p></span></i></p>
<span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">1.</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Develop</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">code</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Runge</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Kutta</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">of order 4</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">and one of</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Euler</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">to solve the</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">problem.</span><br style="font-family: arial, sans-serif; font-size: 16px; "><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">2.</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">If initial conditions</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">are</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Ca =</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">500,</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Cb</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">=</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">0,</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">CC</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">= 500.</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Halle</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">concentrations</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">for</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">times ranging</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">from 0 to</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">30 seconds</span><br style="font-family: arial, sans-serif; font-size: 16px; "><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">3.</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">Compare</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">justify</span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px; "> </span><span class="hps" style="font-family: arial, sans-serif; font-size: 16px; ">and interpret the results</span><span style="font-family: arial, sans-serif; font-size: 16px; ">:</span><BR><i style="font-family: arial, sans-serif; font-size: 24px; "><span style="font-size:11.0pt;line-height:
115%;font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin;
mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:
minor-latin;mso-bidi-theme-font:minor-latin;mso-ansi-language:ES-AR;mso-fareast-language:
EN-US;mso-bidi-language:AR-SA">
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