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    https://gyazo.com/175c47c048893fbb5c7caba8dab316df

    I'm struggling slightly with this question, could someone give me a pointer?

    I'm not to familiar with Leplace however this came up in a STEP 3 question.

     F(s) = \displaystyle\int_{0}^{\infty} e^{-st}f(t)dt

     \displaystyle\int_{0}^{\infty} e^{-st}f(at)dt = a\displaystyle\int_{0}^{\infty} e^{-st}f(t)

    Am I on the right track?
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    (Original post by Louisb19)
    https://gyazo.com/175c47c048893fbb5c7caba8dab316df

    I'm struggling slightly with this question, could someone give me a pointer?

    I'm not to familiar with Leplace however this came up in a STEP 3 question.

     F(s) = \displaystyle\int_{0}^{\infty} e^{-st}f(t)dt

     \displaystyle\int_{0}^{\infty} e^{-st}f(at)dt = a\displaystyle\int_{0}^{\infty} e^{-st}f(t)

    Am I on the right track?
    from the integral definition of Laplace transform, let T =at and the result follows in 2 lines
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    (Original post by TeeEm)
    from the integral definition of Laplace transform, let T =at and the result follows in 2 lines
    Oh yeah, thanks.

    We use Integration by parts for this one right?

    https://gyazo.com/7c36cad26001f5a2648c36d3a78f19f5
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    (Original post by Louisb19)
    Oh yeah, thanks.

    We use Integration by parts for this one right?

    https://gyazo.com/7c36cad26001f5a2648c36d3a78f19f5
    look at part a of this question
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