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

4 votes
3 answers
177 views

How to numerically solve a differential equation which has integration in it?

I am trying to solve the following differential equation which has integration in it. It is not giving any results. Can anyone help? F[t_, k_, \[Chi]_, x_] := t^k*Sqrt[1 + (1817/2) t]/(1 + Exp[t - …
0 votes
0 answers
63 views

ODE mathematica

h[r_] := (A*r)/(A*r + B); DSolve[{-2*(1 - Exp[-y[r]]) + r^2*y''[r] + r^2*(y'[r])^2 - (2 - r*y'[r])*h[r] == 0}, y[r], r] is giving the following error and a solution that is not correct. Can any …