Can I solve a diff. eq. this way?

[cellotim]

I have a second-order, nonlinear differential equation:

D(y,y',y'',x; y'(x=R)) = 0.

Note that there is a "parameter" which is the first derivative of the solution evaluated at a particular point x=R. I want to solve it numerically and use only the solution at y(x=R) and y'(x=R). I don't care about the solution anywhere else. Can I solve it by simply solving

D(y,y',y'',x; y'(x)) = 0,

and then evaluating at y(x=R) and y'(x=R) afterward?

If not, is there another way? I'm using Maple 9.

 

[gtoguy97]

5 so I'd prefer to use its built-in commands if possible.Yes, you can solve the differential equation by solving D(y,y',y'',x;y'(x)) = 0 and then evaluating the solution at y(x=R) and y'(x=R). Maple 9.5 provides the command dsolve which can be used to solve the nonlinear differential equation. The syntax for this is as follows:dsolve(D(y,y',y'',x;y'(x)),y);The solution can then be evaluated at y(x=R) and y'(x=R) by substituting these values into the solution.