Find the general solution for the equation - find the

Question

QA. Find the general solution for the following equation

y" - 4y' + 6.25y = e^2x

QB. Solve the following initial value problem

y′′ + 2y′ + 3y = 2x, y(0) = 1, y′(0) = 0,

QC. Find the general solution of

y′′ + 2y′ + 2y = cos(2x),

QD. Find the general solution of the following equation

y' = x(y - 1)/(x - 2)

QE. Find the solution of

xy′ - 4y = x⁴, y(1) = 2,

REM: ∫uv′dx = uv - ∫u′vdx