Saved Bookmarks
| 1. |
For each of the exercises given below, verify that thegiven function (implicit orexplicit) is a solution of the correspondingdifferential equation. (i) xy = ae^(x) + be^(-x) + x^(2) : x (d^(2)y)/(dx^(2)) + 2(dy)/(dx) - xy + x^(2) - 2 = 0 (ii) y = e^(x)(a cos x + b sin x) : (d^(2)y)/(dx^(2))- 2(dy)/(dx) + 2y = 0 (iii) y = x sin 3x : (d^(2)y)/(dx^(2)) + 9y - 6 cos 3x = 0 (iv) x^(2) = 2y^(2) log y : (x^(2) + y^(2)(dy)/(dx) - xy = 0 |
| Answer» | |