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Math Help - Inhomogeneous Differential Equation

  1. #1
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    Inhomogeneous Differential Equation

    Hi. Can someone please guide me in solving this question? I haven't been taught this in class and have a test coming up.

    Solve the IVP:


    y'' + cos(x)y' = cos(x) with y'(0) = 1 and y(0) = 5

    Additionally, is there any method other than undetermined coefficients to solve these equations involving trigonometric functions?

    Thanks heaps.
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  2. #2
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    Re: Inhomogeneous Differential Equation

    Quote Originally Posted by Vishak View Post
    Hi. Can someone please guide me in solving this question? I haven't been taught this in class and have a test coming up.

    Solve the IVP:


    y'' + cos(x)y' = cos(x) with y'(0) = 1 and y(0) = 5

    Additionally, is there any method other than undetermined coefficients to solve these equations involving trigonometric functions?

    Thanks heaps.
    Start with "reduction of order." Let v = y'. then v' = y''. That transforms yours into a linear first order equation.

    -Dan
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    Re: Inhomogeneous Differential Equation

    Ahh yes, got it! Thanks heaps Dan.
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