Question: I need these solved step by step 1. (10 points) Solve y - 3y' - 4y = 0 with initial condition y(0) = 1 and

I need these solved step by step

1. (10 points) Solve y" - 3y' - 4y = 0 with initial condition y(0) = 1 and y'(0) = 1. 2. (10 points) Find the general solution of y" + 2y' = 3 cos(2t). 3. (10 points) Solve the first 6 terms (y(x) ~ do + air + a2x2 + .. . + asx5) of the power series solution of y" + 3xy' - 2y = 0. [Make sure to express a2, a3, 04, a5 in terms of do and a1.]

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