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Math Help - second order differential-equations

  1. #1
    Junior Member ceode's Avatar
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    second order differential-equations

    1) D^2 (y) - dy = (1+e^x)^2

    D^2 represents second order differential ie d/dx * d/dx
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ceode View Post
    1) D^2 (y) - dy = (1+e^x)^2

    D^2 represents second order differential ie d/dx * d/dx
    Reduce the order.

    Let \displaystyle u = y', then you have

    \displaystyle u' - u = (1 + e^x)^2

    This is a first order ODE, solve it for \displaystyle u. You will then be able to solve for \displaystyle y
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