# Differential equation!

1. Feb 21, 2005

### Pseudo Statistic

How can I find the solution to this differential equation: dy/dx = x^3/y^2 given y(2) = 3?
I'd just like a hint on how I can integrate x^3/y^2.... because that's where I'm falling.
Thanks for any responses.

2. Feb 21, 2005

### Nylex

Can you not separate the equation and then integrate?

3. Feb 21, 2005

### Pseudo Statistic

When I seperate, do I get:
x^3dx - y^2dy = 0?
Or is this wrong?
Thanks.

4. Feb 21, 2005

### HallsofIvy

Staff Emeritus
That's fine- although you might find it simpler yet to write the equation as
x3dx= y2dy

Now integrate both sides. You get a "constant of integration" when you do that. Remember that y(2)= 3 means that when x= 2, y= 3. That will help you determine what that constant must be.