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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

Step-by-step answer

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