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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

3 votes
2 answers
1k views

NDSolve giving the wrong solution?

I'm considering the non-linear second order ODE DE $=0$, with DE given by DE = y[x] (2 + y[x]) y''[x] + 2 x y[x] (2 + y[x]) y'[x]/(-1 + x^2) - (1 + 2 y[x]) y'[x]^2 + 4 (1 + y[x]) (2 + y[x])^2/(-1 …
ScroogeMcDuck's user avatar
2 votes
1 answer
2k views

NDSolve going outside of the range of the interpolating function

I am trying to solve a differential equation that contains some interpolating functions as input, and for reasons unknown to me I am encountering an error which makes Mathematica use extrapolation. I …
ScroogeMcDuck's user avatar