Substitution for integration of e^(x*y) dx

[Sunev]

Really not sure... Does anyone know an appropriate substitution?

The whole problem is:

Find the substitution that simplifies the differential equation

x(dy/dx) + y = e^(x*y)

 

[HallsofIvy]

What is
$$\frac{d(xy)}{dx}$$
?

 

[Sunev]

I know the first part. It is the integration of e^(x*y) that I am having problems with, as it requires a substitution...

 

[Morgoth]

don't you think that afterwards you will have too many (x*y)s?

one more sentence and the other party will have to solve it -_-

 

[HallsofIvy]

I know the first part. It is the integration of e^(x*y) that I am having problems with, as it requires a substitution...

I understand that- and if you had answered my question, it should have become obvious to you what substitution you need.