Nonlinear Diff Eqn: d^2y/dx^2 = V(X)y(x) - Ey(x)

donovanjames

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Jul 14, 2006
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Hey, I was wondering if anybody knew how to solve this:

. . .d^2*y/dx^2 = V(x)*y(x) - E*y(x)

Where E is a constant, and Vo is a constant.

. . . . . . .Vo for x < 0
V(x) =
. . . . . . .Vo - (Vo*x)/5 for x > 5

Any Help would be appreciated.

Donovan
 
The former case has constant coefficients, the latter invokes a series solution.
 
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