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Solve the problem of mathematical modeling
I also took this course and just wrote the second question, but it seems that you don't need it anymore. ......

As far as writing is concerned, others can see it. They wrote it themselves and are not responsible for the mistakes.

Let the total amount of salt in two barrels be y 1 and y2, respectively. The unit is L, the unit of T is the second record (personal habit problem), and S is the required quantity.

dy 1 =(-y 1/500)*(40/60);

dy2 =-dy 1-(y2/(500+20 * t/60))*(20/60);

y 1(0)= 500 * 10.5;

y2(0)= 500 * 10.5;

s = int((y2/(500+20 * t/60))*(20/60),t,0,t);

The answer is s = (3937500 * exp (-t/750)-19687500)/(t+1500)+10500;

Note that the unit is seconds.