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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Originally Posted by john1985 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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