Examine the Euler differential equation x?y" + 2xy' – 2y = 3x. a) Find the general solution to the associated homogeneous differential equation on (0, 0). b) Show that y, = xln(x) is a solution to the...

Extracted text: Examine the Euler differential equation x?y" + 2xy' – 2y = 3x. a) Find the general solution to the associated homogeneous differential equation on (0, 0). b) Show that y, = xln(x) is a solution to the non-homogeneous differential equation and find the general solution to the non-homogeneous differential equation. Ур