Require help for the solution of second order differential equation.

[Sagaralok]

Dear Friends i am lookin g for the solution for second order differential equation. will anyone please help me to solve this problem.

 

[Zaphys]

From where did that equation came from! its like a monster ;) no if i find an operative way of solving it i tell you

 

[Astronuc]

Just to be sure:

$$\frac{\frac{d^2y}{dx^2}}{[\,( 1\,+\,(\frac{dy}{dx})^2 )^{3/2}\,]} + \frac{\frac{dy}{dx}}{[\,x\,( 1\,+\,(\frac{dy}{dx})^2 )^{1/2}\,] }\;{-\,y} = 0$$

where

$$\frac{dy}{dx} = tan \theta\;at\;x = x_o$$

and

$$\frac{dy}{dx} \rightarrow 0\; and\;y = 0\;as\;x \rightarrow \infty$$

 

[Sagaralok]

Thank you Zaphys atleast you given reply to me. it is really difficult to solve this i am not getting solution of it.
rest is fine take care

From where did that equation came from! its like a monster ;) no if i find an operative way of solving it i tell you

 

[Zaphys]

You're welcome :)

 

[Sagaralok]

dear friend
i tried to solve it after some assumptions
but my solution is still not satisfying first boundary condition will you please go through it.

rest is fine
take care
sagar

 

[Zaphys]

I´m not much versed in numeric methos so here I can't help you. Sorry ;)

Salutations Sagar

 

[Sagaralok]

no problem Zaphys
take care
sagar

I´m not much versed in numeric methos so here I can't help you. Sorry ;)

Salutations Sagar