# Thread: initial value problem help!

1. ## initial value problem help!

I can't seem to solve this problem. First I use U substitution to get

u * du/dy + 2 * u^2 / (y+1) = u^(1/2) / (y + 1)^3

This is as far as I got. I can't get it to where I can separate the variables. Could someone show me how to get it to where I can separate the variables?

2. Originally Posted by TshingY

I can't seem to solve this problem. First I use U substitution to get

u * du/dy + 2 * u^2 / (y+1) = u^(1/2) / (y + 1)^3

This is as far as I got. I can't get it to where I can separate the variables. Could someone show me how to get it to where I can separate the variables?
If you divide your u equation by u

$
\frac{du}{dy} + \frac{2 u}{y+1} = \frac{1}{(1+y)^3} \cdot \frac{1}{u^{1/2}}
$
this equation is Bernoulii.