Question

Diff eq help please!

Answer 1

idk

Answer 2

a) Show that the equation is homogeneous

b) Solve the diff equation

\[\frac{ dy }{ dx } = \frac{x^2 + 3y^2}{2xy}\]

Answer 3

Separate them: \(\sf \frac{x^2}{2xy} + \frac{3y^2}{2xy} \Rightarrow \frac{1}{2}\frac{x}{y} + \frac{3y}{2x} \)

Answer 4

Then what?

Answer 5

substitute y/x = v
y = xv
y' = v+xv'

Answer 6

I tried that and I don't know where to go from there...so flutter it lol

I have the answers so I don't really care at this point

Answer 7

y'=(1/2)x/y+(3/2)y/x

v+xv'=(1/2v)+(3/2)v

Answer 8

Sorry. Went to go poo. I think @UnkleRhaukus has it now.

Answer 9

rearranging this should give you a variables separable DE