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```        Solve the differential equation:
dy/dx = e^(xy)```
7 years ago

147 Points
```										Dear DEEPAK
dy/dx = e^(xy)
let xy=t
xdy/dx + y =dt/dx
or  xdy/dx  + t/x =dt/dx
or  dy/dx = 1/x dt/dx - t/x2
so question become
1/x dt/dx  -1/x2=et
or  dt/dx    -x et = 1/x
so I.F= e∫-xdx
=e-x2/2
so  t.e-x2/2   = ∫1/x e-x2/2   dx   +c
now it is simple intigration
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin

```
7 years ago
Tapasranjan Das
19 Points
```										Hi Deepak,
dy/dx=exey
=>dy/ey=exdx
=>e-ydy=exdx
=>∫e-ydy=∫exdx
=>-e-y=ex+C
```
7 years ago
Deepak Aggarwal
8 Points
```										Badiuddin sir, actually see the 5th step after u have written the question became. there i think u missed a 't'. actually there the question become

1/x dt/dx  - t/x2=et
Thnks anyways.

```
7 years ago
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