Solving a Nonlinear DE with MathCad?

[Bebokkos]

Hi! I'm currently struggling to solve the following nonlinear 2nd order DE with MC:

y'' - (1/y)(y')^2 - y(dy/dx + 1) = 0 with ic: y(0)=0.235 and bc: dy/dx=(2x)^-0.5 at x=50.

I've tried odesolve and rkadapt with no success. In fact, everywhere I looked I got solutions for ODE only. Can't find any help for NONLINEAR DEs. This is how I implemented Odesolve:

Given
y''(x)- (1/y(x))*(y'(x)^2)-y(x)*(y'(x)+1)=0
y(0)=0.235 y'(50)=(2*x)^-0.5
y=Odesolve(x,50)

Any ideas?

 

[Bebokkos]

I've discovered that Odesolve can solve this kind of DE, however it won't converge to a solution, unless the boundary becomes dy/dx=(2x)^-0.5 at x=2. If x>2 no solution is possible.