Hi,

Can you help me to found an analytical solution of:

d2x/dt^2+ c1 (dx/dt)^2+ c2x=0

Thanks

Mike

- Jan 16th 2011, 11:54 PMmanvalanHelp for the solution of nonlinear differential equation:y"+(y')^2+y=0
Hi,

Can you help me to found an analytical solution of:

d2x/dt^2+ c1 (dx/dt)^2+ c2x=0

Thanks

Mike - Jan 17th 2011, 01:14 AMFernandoRevilla
If a differential equation has the form

$\displaystyle F(y,y',y'')=0\quad[*]$

the substitution:

$\displaystyle y'=p,\quad (p=p(y))$

transforms $\displaystyle [*]$ into:

$\displaystyle F\left(y,p,p\dfrac{dp}{dy}\right)=0$

(first order equation).

Fernando Revilla