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create a 3 by3 system of ODE IVP from this problem: Suppose three chemical species are in a process of reaction, where every minute 20% of chemical A becomes chemical B, and 25% of chemical B become chemical C. There is no supply of chemical A. The reaction stops at chemical C. At present, there are 100 grams of chemical A, 20 grams of chemical B, and no chemical C. We are interested in the First 10 minutes of the reaction.
 one year ago
 one year ago
create a 3 by3 system of ODE IVP from this problem: Suppose three chemical species are in a process of reaction, where every minute 20% of chemical A becomes chemical B, and 25% of chemical B become chemical C. There is no supply of chemical A. The reaction stops at chemical C. At present, there are 100 grams of chemical A, 20 grams of chemical B, and no chemical C. We are interested in the First 10 minutes of the reaction.
 one year ago
 one year ago

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UnkleRhaukusBest ResponseYou've already chosen the best response.0
so we need to find three equations
 one year ago

crosssbowBest ResponseYou've already chosen the best response.0
yes, i said x , y, and z
 one year ago

crosssbowBest ResponseYou've already chosen the best response.0
x=chem A y=chem B z=chem C
 one year ago

crosssbowBest ResponseYou've already chosen the best response.0
dx/dt=?? dy/dt=??? dz/dt=??
 one year ago

crosssbowBest ResponseYou've already chosen the best response.0
and i believe i know the interval [0,10]
 one year ago

crosssbowBest ResponseYou've already chosen the best response.0
since we are intrested in the first 10 min
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
so \[\frac{\text dA}{\text dt}=80\%A\]
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
every minute 20% of chemical A becomes chemical B so every minute chemical A becomes 80% of was before
 one year ago

crosssbowBest ResponseYou've already chosen the best response.0
okay, that makes sense, how about for dB/dt?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
every minute 20% of chemical A becomes chemical B, and 25% of chemical B become chemical C
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
and the last one/
 one year ago

crosssbowBest ResponseYou've already chosen the best response.0
i am not sure , maybe just 25%B??
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
i think thats right
 one year ago
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