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Math Help - laplace transform of a derivative

  1. #1
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    Exclamation laplace transform of a derivative

    how do you take the laplace transform of this equation:
    I*x''+b*x'-b*y'+k*x-k*y=Mc+Md

    I, B, and x are variables, assuming Mc and Md are as well since they are for the motor inertia
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  2. #2
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    Quote Originally Posted by jlynn36 View Post
    how do you take the laplace transform of this equation:
    I*x''+b*x'-b*y'+k*x-k*y=Mc+Md

    I, B, and x are variables, assuming Mc and Md are as well since they are for the motor inertia
    If you are expected to be able to do a problem like this, then you are expected to have learned that
    L(dy/dx)= y(0)+ sL(y)

    You can get that, and the second derivative, by integrating
    \int_0^\infty e^{-st}\frac{dy}{dt} dt
    by parts.
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