Saved Bookmarks
| 1. |
If y(x) is a solution of (1+x)^((dy)/(dx)) = 1+ xy and y(0) = -1, then y(1) = |
|
Answer» Solution :`(DY)/(dx)+ (-X)/(1+x) y = 1/(1+x)` I.F. `=E^(-INT(x/(1+x))dx) = (1+x)e^(-x)` Solution y(x) is given by `y XX (1+x)e^(-x) = int e^(-x) dx = -e^(-x) +C` `y(1) = -1/2` |
|