Easy Integration Problem

MrCodeDude · Feb 9, 2004

Use integration to find a general solution of the differential equation

dy/dx = x sqrt [ x - 3 ]

I've only learned U and dU. What do I do?

TuxDave · Feb 9, 2004

<----- is losing his memory in Calculus. I thought this was supposed to be easy.

ClueLis · Feb 9, 2004

Nevermind. Do you know integration by parts?

MrCodeDude · Feb 9, 2004

If U = sqrt [x-3]
then dU = 1 / ( 2 sqrt [x-3] )

I don't see how that helps me.

ClueLis · Feb 9, 2004

See my edit. It didn't work, as you ended up with the integral of x du.

ngvepforever2 · Feb 9, 2004

u=x-3
x=u+3

you do it from there, it's easy!

good luck

ClueLis · Feb 9, 2004

Originally posted by: ngvepforever2
u=x-3
x=u+3

you do it from there, it's easy!

good luck

Doh! Why didn't I see that?

MrCodeDude · Feb 9, 2004

So you get

integral [ (U+3) * sqrt[ U ] ]

ngvepforever2 · Feb 9, 2004

you get...

integral [(u+3)(u)^(1/2)]