Differential equation help. *Question attached below*

Question

itiaax · Answer

So, I've been working on this problem and I've gotten as far as:
$$\frac{ xy }{ x+1} = \frac{- e ^{-x ^{2}} }{ 2 } +C$$

Can I have some help please?

itiaax · Answer

attachment

rational · Answer

thats the end of it.

rational · Answer

you may isolate "y" if you want but its not really necessary.. you're done with solving the DE!

itiaax · Answer

Yes, I need to isolate y as the answer includes y isolated

rational · Answer

whats stopping you from isolating y ?

itiaax · Answer

I'm stuck at getting the answer I'm supposed to get. The fraction I got up to where I'm stuck is troublesome

freckles · Answer

you remember along time ago
like you were asked to solve equation like this:
$$\frac{3}{5} y=4$$
and the teacher or whoever was like multiply by the reciprocal of the coefficient of yon both sides 
that is you would multiply 5/3 on both sides

freckles · Answer

there is suppose to be a space between y and on

freckles · Answer

$$\frac{ xy }{ x+1} = \frac{- e ^{-x ^{2}} }{ 2 } +C \ \frac{x}{x+1} \cdot y=\frac{-e^{-x^2}}{2}+C$$

freckles · Answer

you have the same type of equation here

itiaax · Answer

@freckles, let me attempt it from there

itiaax · Answer

I got it! Thank you! :D @freckles

freckles · Answer

np