Solve the problem 11 according to the method in the heading in the below image.

In Problems 1-16, the indicated function y, (x) is a solution 10. xy" + 2xy' - 6y = 0; y1 = x2 of the given equation. Use reduction of order or formula (5), 11. xy" + y' = 0; y1 = In x as instructed, to find a second solution y2(x). 12. 4x y" + y = 0; y1 = x /2 In x 1. y" - 4y' + 4y = 0; y1 = exx 13. xy" - xy' + 2y = 0; y1 = x sin(In x) 2. y" + 2y' + y = 0; y1 = xe * 14. x'y" - 3xy' + Sy = 0; y1 = x cos(In x) y" + 16y = 0; y1 = Cos 4x 15. (1 - 2x - x2)y" + 2(1 + x)y' - 2y = 0; y1 = x+1 4. y" + 9y = 0; y1 = sin 3x 16. (1 - x2)y" + 2xy' = 0; y1 = 1 5. y" - y = 0; y1 = cosh x In Problems 17-20, the indicated function y,(x) is a solution of 6. y" - 25y = 0; y1 = ex the associated homogeneous equation. Use the method of reduc- 7. 9y" - 12y' + 4y = 0; y1 = e2x/3 tion of order to find a second solution y2(x) of the homogeneous 8. 6y" + y' - y = 0; y1 = ex/3 equation and a particular solution of the given nonhomogeneous 9. xy" - 7xy' + 16y = 0; y1 = x4 equation