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Student Support Forum: '2nd order nonlinear DE with boundary conditions' topicStudent Support Forum > General > Archives > "2nd order nonlinear DE with boundary conditions"

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Ioan TUDOSA
03/27/00 06:30am

Hi!

I have a problem with this equation: (C[1], C[2] are some positive constants)

y''[x]=-C[2]*(1+C[1]*y'[x]^2)^(3/2)
+(1+C[1]*y'[x]^2)/(C[1]*y[x])

with boundary conditions y[0]=0.2 ( or any other number less than unity) and y[1]=1. X takes values in the range
(0,1).
When C[1]=C[2]=1 I can solve it with Dsolve( regardless of the boundary conditions). If the C's are different I can't.
I tried also with NDSolve but I couldn't do it( it works with initial conditions!).
Could you tell me what method use to solve it? I need only the y'[0].

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