Verifying Solution to DE: y' = (1+1/x)y y(1) = e

[frs2fh]

Hi,
I have a first order equation I've solved to help a friend along in another poblem. But I have not solved a DE in over 10yrs - so I just want to make sure I did it correct.
It an IVP.

y' = (1+1/x)y y(1) = e.

So I come up with y = CXe^x
(C = 1 for IV)

 

[Ray Vickson]

You can easily check it yourself: you have y(x), and can compute y'(x), then plug these into the DE to see if they work.

RGV

 

[frs2fh]

Thanks Ray,
I did this before I posted and it seemed to work. I'm just afraid if I made a mistake in one direction I made it again in the other. Like I stated, I haven't done this (any integration / derivatives or solving DE) in over a decade. I just want to know if it's correct.

 

[ehild]

It is correct. ehild