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DSolve


eqn = D[u[x], {x, 2}] + \[Lambda]^2 (0.25 - x^2) u[x] == 0
DSolve[{eqn, u[-1/2] == 0, u[1/2] == 0}, u[x], x]

This returns {{u[x] -> 0}} while another CAS system returns a solution
in terms of WhittakerW function.

Am I doing something wrong or is Mathematica not able to solve this
equation symbolically?

Thanks,

Raj



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