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Math Help - Laplace / Initial Value system

  1. #1
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    Laplace / Initial Value system

    Q = solve initial value system using laplace

    x + y + x y = 0, x + 2y + x = 1
    x(0) = y(0) = 0

    any guidance would be great.
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    Quote Originally Posted by john1985 View Post
    Q = solve initial value system using laplace

    x + y + x y = 0, x + 2y + x = 1
    x(0) = y(0) = 0

    any guidance would be great.
    Let LT[y(t)] = Y(s) and LT[x(t)] = X(s). Then the system becomes

    (s - 1)Y + (s + 1)X = 0 .... (1)

    2sY + (s + 1)X = 1 .... (2)

    Solve for X = X(s) and Y = Y(s) and then take the inverse Laplace transform to get x = x(t) and y = y(t).
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