Solve

y''= x^3/y

I tried by using let u=y'

then I get

u'=x^3/y .. now something tells me this is not going to be an easy ride home.

- May 30th 2010, 02:31 AMKhonics89Second order non linear inhomogeneous differential equation.. :(
Solve

y''= x^3/y

I tried by using let u=y'

then I get

u'=x^3/y .. now something tells me this is not going to be an easy ride home. - May 31st 2010, 04:07 AMchisigma
Lets write the second order DE as...

(1)

... and suppose that the solution is analytic in so that is...

(2a)

(2b)

(2c)

The are found inserting the (2a) and (2c) in (1), once we know the 'initial conditions' and ...

... and so one...

Kind regards

- May 31st 2010, 05:13 PMKhonics89
Why assume x=0?

Why not just start with u=y' ? - Jun 1st 2010, 03:08 AMHallsofIvy