Question: I am having trouble with this question. Please help me out I have been stuck on this question for hours and I don't know what

I am having trouble with this question. Please help me out

I have been stuck on this question for hours and I don't know what to do.

(a) Use Mathematica and the Laplace-transform method to solve the sys- tem ( f' = 3f + 5g - sin(x) g' = 2f - g + cos(x) with initial conditions f(0) = 0 and g(0) = 1. (b) Solve the same system using DSolve and show (in Mathematica!) that the results are equal

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