Initial value problem

[ingril]

Hi,

I have a differential equation

x^2 ?x/?t = t(1+x^3)^(3/2) x(0) = 0

HOW do i solve the initial value problem for this?

I have been trying to divide the right hand side by x^2 to get the x dot (?x/?t) by itself, and then have been trying to separate it into an equality of two integrals (with ?x on one side and ?t on the other) so i can solve it, but i don't know if that is actually solving the initial value problem, or just the differential equation..

I hope this question is understandable, guess it's easy to tell how confused I am.

Thanks in advance,

Ingril

 

[Gene]

You might want to review
http://www.karlscalculus.org/email.html
on how to type math. I get ?'s which are hard to interpret. It may be just me 'cause I use WebTV which has font trouble.
-------------------
Gene

 

[ingril]

Yeah, i'm an idiot, the ?s are supposed to be little deltas, but actually, i don't know what I was thinking, because it should just be a regular d (so it is dx/dt)

-i

 

[Gene]

Take a look at the derivative of (1+x^3)(-1/2)