(b) a Cauchy-Euler equation. 2. Use an appropriate method to find the general solution of the following differential equations: (a) y" + 3y' – 2y = -e2" (5 cos 2x + 9 sin 2a) (b) x²y" + 15xy' + 58y =...

Question 2 pls

Extracted text: (b) a Cauchy-Euler equation. 2. Use an appropriate method to find the general solution of the following differential equations: (a) y" + 3y' – 2y = -e2" (5 cos 2x + 9 sin 2a) (b) x²y" + 15xy' + 58y = 0 4e-* (c) y" – : - y = 1 – e-2x (d) y" – 6y" + 11y' – 6y = e2" (5 – 4r – 3r?) 3. Solve the following differential equation subject to the indicated conditions. y" – y = x + sin x, y(0) = 1, y'(0) = -3