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Math Help - how to solve this differential equation ?

  1. #1
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    RAWALPINDI
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    how to solve this differential equation ?

    can anyone please tell me how can i solve this differential equation
    i tried laplace appraoch but got stuck in finding laplace of y(t) whole cube term in equation



    differential equation


    double derivative of y(t) + (4/3)y(t) whole cube= -(1/3)u(t)
    where u(t)=sin(3t)
    and initial conditions y(0)=0,
    first derivative of y(0)=1


    i am new to these forums if anyone can telll me how can i write down equations here in their orginal form
    as i used it here wording form then it will be great enough .................

    Thankx.........
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  2. #2
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    Aug 2011
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    Re: how to solve this differential equation ?

    Hi !

    Trying the simplest usual functions, it takes not much time to see that y = sin(x) is solution.
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