Help Solving DE with Squared Term

2RIP · Sep 23, 2008

Hey guys,

Homework Statement

Solve the following DE,

y"+t(y')^2=0I'm not sure what to do with the square there. Would it help if i divided the whole equation by y'?

Thanks

tiny-tim · Sep 23, 2008

2RIP said:

y"+t(y')^2=0

Hey 2RIP!

HInt: put y' = v …

then it's v' + tv² = 0.

2RIP · Sep 23, 2008

tiny-tim said:

Hey 2RIP!

HInt: put y' = v …

then it's v' + tv² = 0.

Oh thanks tiny-tim, it becomes a separable equation :P