Saved Bookmarks
| 1. |
Solve the differential equation y’’= i+(y’)2. |
|
Answer» xy DXDY −y 2 −x 3 =0put y 2 =K⇒y dxdy = 21 dxdk ∴ given DIFFERENTIAL EQUATION becomesdxdk +k(− x2 )=2x 2 I.F.=e ∫− x2 dx = x 2 1 ∴ solution is k. x 2 1 =∫2x 2 . x 2 1 dx+λy 2 −2x 3 =λx 2 TAKE λ=−c (integration constant). |
|