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Math Help - Differential by laplace

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    Differential by laplace

    SOLVE X'-Y=e^t ,Y'+X=sint where X(0)=1 Y(0)=0


    HERE DO I HAVE TO ELIMINATE X AND APPLY LAPLACE FOR Y PLEASE HELP
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    Re: Differential by laplace

    Quote Originally Posted by prasum View Post
    SOLVE X'-Y=e^t ,Y'+X=sint where X(0)=1 Y(0)=0


    HERE DO I HAVE TO ELIMINATE X AND APPLY LAPLACE FOR Y PLEASE HELP
    Apply the Laplace transform first. This will turn the system of ODE's into a system of algebraic equations.

    sX-1-Y=\frac{1}{s-1} \quad sY-0+X=\frac{1}{s^2+1}

    Now just eliminate either x or y and solve.
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    Re: Differential by laplace

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