Can anyone help me solve this non linear second order ODE?

I'm sure i know how but i'm suffering from a bit of a mental block

y''(x)=-(1/y)*(y'(x))^2

Thanks in advance

Printable View

- March 18th 2012, 08:21 PMMoonysgirl159Can anyone help solve this NL 2ODE?
Can anyone help me solve this non linear second order ODE?

I'm sure i know how but i'm suffering from a bit of a mental block

y''(x)=-(1/y)*(y'(x))^2

Thanks in advance - March 18th 2012, 09:37 PMprincepsRe: Can anyone help solve this NL 2ODE?
- March 19th 2012, 06:00 AMProve ItRe: Can anyone help solve this NL 2ODE?
- March 21st 2012, 05:34 AMLidaRe: Can anyone help solve this NL 2ODE?
I need help in this question; its a first order nonhomogenous differential equation. I know how to do the rest of the question but I just dont know how the book got from this part to the other. thanks!!!

(T Tinfinity (b/a)) / (Ti Tinfinity (b/a)) = exp (-at)

Hence

(T Tinfinity) / (Ti Tinfinity ) = exp (-at) + (b/a) / (Ti Tinfinity) (1- exp (-at))