1. ## Differential equations

1. dm/dt=0.002(50-m)^2
Solve the differential equation and show that the solution can be expressed in the form
m=50 - 500/(t+10)

2.By first expressing 1/a(10-a) as partial fractions , solve the differential equation , obtaining an expression for t in terms of a.
I got the partial fraction 1/10a + 1/10(10-a)
but i dont have any idea what to do next.. any help ?

2. ## Re: Differential equations

Originally Posted by Matt512
1. dm/dt=0.002(50-m)^2
Solve the differential equation and show that the solution can be expressed in the form
m=50 - 500/(t+10)
That differential equation is the same as $\frac{dm}{(50- m)^2}= 0.002dt$. Integrate both sides.

2. By first expressing 1/a(10-a) as partial fractions , solve the differential equation , obtaining an expression for t in terms of a.
I got the partial fraction 1/10a + 1/10(10-a)
but i dont have any idea what to do next.. any help ?
Solve what differential equation?