Differential Equation Problem 1) Find the general solution to each DE below:
a) y'' - 4y' + 3y = 8cos(x)
b) y'' - 2y' + 2y = 12x²
a) y = C₁e(3x) + C₂eˣ + 2cos(x) + 2sin(x)
b) y = C₁eˣ + C₂e(2x) + 3x² - 6x + 2