# Math Help - 1OLDE Separable

1. ## 1OLDE Separable

Apparently this is separable. I have no idea how I would go about separating this.

Heres what I got so far!

I almost see a some symmetry, but I really do not know where to go from here. I tried subbing y=xv, but that got my nowhere also.

If I expand, I get:

Am I on the right track?

2. While we are having problems with the LaTeX on this site, I suggest compiling your LaTeX using Quick LaTeX and embedding the output as images in your posts.

3. thx, updated.

4. Originally Posted by Vamz

Apparently this is separable. I have no idea how I would go about separating this.

Heres what I got so far!

I almost see a some symmetry, but I really do not know where to go from here. I tried subbing y=xv, but that got my nowhere also.

If I expand, I get:

Am I on the right track?
Dividing numerator and denominator by $x^{3}$ You obtain...

(1)

... so that it is an homogeneous DE... set $\frac{y}{x} = t$ ...

Kind regards

$\chi$ $\sigma$

5. Now make the substitution to transform your DE to

.

Go from here.