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Math Help - differential equations

  1. #1
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    differential equations

    Solve.
    y'=x(1+y)
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  2. #2
    Senior Member
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    Quote Originally Posted by saiyanmx89 View Post
    Solve.
    y'=x(1+y)[/quote]

    y'/(1+y)= x

    1/(1+y) * dy/dx = x

    dy/(1+y) = x dx

    \int 1/(1+y)dy = \int x dx + C

    LN |1+y| = 1/2 x^2 + C

    |1+y| = e^{0.5 x^2 + C}

    Can you go on?

    Cheers
    Rapha
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