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Results tagged with differential-equations
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user 62030
Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
0
votes
1
answer
328
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How to force Mathematica to evaluate a limit in the boundary conditions of a differential eq...
I'm experiencing troubles in obtaining the result of an ordinary differential equation with a boundary condition at infinity.
I write down
Limit[DSolve[{ψ''[r] + 2/r*ψ'[r] - κ^2*ψ[r] ==
0, ψ[a/2 …
4
votes
2
answers
736
views
How to solve a Bessel differential equation with a boundary condition at infinity?
I'm trying to solve a differential equation which solution is in the form of Bessel functions. One of the boundary conditions is at infinity. I use:
ψ[R_] = ψ[R] /. DSolve[{ψ''[R] + (ψ'[R])/R - κ^2 ψ …