Question: I had a hard time solving this the questions from my homework. Thank you in advance 1) Solve the IVP by (a) separating the variables

I had a hard time solving this the questions from my homework. Thank you in advance

1) Solve the IVP by (a) separating the variables and integrating twice and by (b) using a power series centered at 0.

y'' = 0, y(0) = 1, y'(0) = -1

2) Solve the IVP using (a) an annihilator and (b) the method of variation of parameters

y'' + 3y' + 2y = cos(x), y(0) = 0, y'(0) = 2

3) Solve the DifferentialEquation

x2y'' - 2xy' + 2y = 6lnx, x > 0

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