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crosssbow
 2 years 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.
crosssbow
 2 years 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.

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UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0so we need to find three equations

crosssbow
 2 years ago
Best ResponseYou've already chosen the best response.0yes, i said x , y, and z

crosssbow
 2 years ago
Best ResponseYou've already chosen the best response.0x=chem A y=chem B z=chem C

crosssbow
 2 years ago
Best ResponseYou've already chosen the best response.0dx/dt=?? dy/dt=??? dz/dt=??

crosssbow
 2 years ago
Best ResponseYou've already chosen the best response.0and i believe i know the interval [0,10]

crosssbow
 2 years ago
Best ResponseYou've already chosen the best response.0since we are intrested in the first 10 min

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0so \[\frac{\text dA}{\text dt}=80\%A\]

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0every minute 20% of chemical A becomes chemical B so every minute chemical A becomes 80% of was before

crosssbow
 2 years ago
Best ResponseYou've already chosen the best response.0okay, that makes sense, how about for dB/dt?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0every minute 20% of chemical A becomes chemical B, and 25% of chemical B become chemical C

crosssbow
 2 years ago
Best ResponseYou've already chosen the best response.0i am not sure , maybe just 25%B??

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0i think thats right
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