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Differential Equations - Laplace TransformI have two questions that I'm stuck onFirst Question:

Use the convolution theorem to solve the initial value problem


y′′ - 2y′ + y = 1; y(0) = 0 ; y′(0) = 0


Second Question:


Use Laplace transform to solve the system


y′' + y + z = 0

z′+y′= 0


with initial conditions y(0) = 0; y′(0) = 0; z(0) = 1


Please help with step by step solutions to show the work

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