# Thread: [SOLVED] First Order Differential Equation Help

1. ## [SOLVED] First Order Differential Equation Help

Hey guys, I'm having a bit of trouble with this:

Find the general solution to this differential equation, using the u=logy substitution

The last line is what i got, but i get the feeling it is terribly wrong,

So can you guys help me out?

2. $u=\ln y\implies u'=\frac{y'}{y},$ besides $y=e^u.$ Now put these in the ODE, you'll get a linear one easy to solve.

3. Yeh I did that to get that answer in the original post,

but i think i have calculated the integrating factor incorrectly, so can you help me out with that?

4. Originally Posted by jwade456
Yeh I did that to get that answer in the original post,

but i think i have calculated the integrating factor incorrectly, so can you help me out with that?
Perhaps you can show your working?

5. hey again,

i just sorted it out (i was making a stupid mistake)

sorry for wasting your time guys, and thanks for offering to help

6. Originally Posted by jwade456
Hey guys, I'm having a bit of trouble with this:

Find the general solution to this differential equation, using the u=logy substitution

The last line is what i got, but i get the feeling it is terribly wrong,

So can you guys help me out?
Subsequently asked by a different member here:

http://www.mathhelpforum.com/math-he...tml#post143673

and replied to.