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Math Help - Differential equations

  1. #1
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    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 don`t have any idea what to do next.. any help ?
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  2. #2
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    Re: Differential equations

    Quote Originally Posted by Matt512 View Post
    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 don`t have any idea what to do next.. any help ?
    Solve what differential equation?
    Thanks from topsquark
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