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Question: ODE with extra condition?

Question:ODE with extra condition?

J4James 355
numeric
November 14 2013
0
This question is related to the Question parameter plot help required?

Hello everyone, I am trying to solve  a differential equation with one extra boundary condition.

restart:with(plots):

Eq:= diff(f(y),y$3)+f(y)*diff(f(y),y$2)-diff(f(y),y$1)^2-(diff(f(y),y$1)+y/2*diff(f(y),y$2))=0;

bc:=D(f)(0)=1,f(0)=0,(D@@2)(f)(b)=0, f(b)=b/2;

With the arbitrary trial values, the integrated solutions will generally not satisfy the outer boundary conditions.

(D@@2)(f)(b)=0, f(b)=b/2. 

I need find a way to adjust the two trial values such that the numerical solution eventually matched

the required boundary conditions.

 

Thanks

 
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