2. Use an appropriate method to find the general solution of the following differential equations: / – 2y = -e2" (5 cos 2x + 9 sin 2x) 2 (b) x?y" + 15xy' + 58y = 0 (c) y" – - y = 1-e-2r (d) y" – 6y" +...

Pls answer question 3

Extracted text: 2. Use an appropriate method to find the general solution of the following differential equations: / – 2y = -e2" (5 cos 2x + 9 sin 2x) 2 (b) x?y" + 15xy' + 58y = 0 (c) y" – - y = 1-e-2r (d) y" – 6y" + 11y – 6y = e2" (5 – 4x – 32²) - 3. Solve the following differential equation subject to the indicated conditions. y" – y = x + sin x, y(0) = 1, y'(0) = -3