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crosssbow
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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.
 2 years ago
 2 years ago
crosssbow Group Title
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.
 2 years ago
 2 years ago

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

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

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

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

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

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

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

UnkleRhaukus Group TitleBest 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
 2 years ago

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

UnkleRhaukus Group TitleBest 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
 2 years ago

crosssbow Group TitleBest ResponseYou've already chosen the best response.0
20%A25%B
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
and the last one/
 2 years ago

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

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

crosssbow Group TitleBest ResponseYou've already chosen the best response.0
okay thanks
 2 years ago
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