solve this handwritten with solution neat and clean number 10 only

TEST YOUR KNOWLEDGE Solve the following equations by the transform method (1 - 17) : 1. (D3 - 2D + 2)x = 0, x = Dx = 1 att = 0. 2. dx dt +x me' withx = 2, - =-1 att = 0. 3. y" + 4y' + 3y = et, y(0) = y'(0) = 1. 4. x" - 3x'+ 2x = 1 -e", x(0) = 1, x'(0) = 0. dx 5. y" + y - 2y = t, y(0) = 1, y'(0) = 0. 6. di + x = sin ox, x(0) = 2. 7. (D3 + 5D + 6)x = 5e', x(0) = 2, x(0) = 1. 8. (D' - 1) x = a cosh f, x(0) = x'(0) = 0. d'x 9. + 9x = cos 2t, x(0) = 1, x -1. de2 10. (D' - D - 2) x = 20 sin 2t, x(0) = - 1, x'(0) = 2