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Question 4 Solve the given differential equation by using Green's function. y - y' = 1, y(0) = 0, y'(0) = 0 Hint: Use the

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Question 4 Solve the given differential equation by using Green's function. y" - y' = 1, y(0) = 0, y'(0) = 0 Hint: Use the following formulas YI (D)Y2 ( x ) - y, ( X ) 7 2 (1) G (x, t) = W (1) Y = / G(x, 1)f (1)di Oy(x) = ex +x - 1 O y() = ex - x - 1 O y () = e 4X - 5x - 11 y (x) = 4e X - 3x - 1

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