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A ODE I need to solve

• To: mathgroup at smc.vnet.net
• Subject: [mg111073] A ODE I need to solve
• From: Sam Takoy <sam.takoy at yahoo.com>
• Date: Mon, 19 Jul 2010 02:10:22 -0400 (EDT)

Hi,

Mathematica has a problem with this:

DSolve[y''[x] + (2/Cosh[x - h]^2 - 1) y[x] == 0, y, x]

although the solution is not too difficult. One of the solutions is

1/(Cosh[2(x-h)]+1)^(1/2)

Is there a way to help Mathematica along?

Thanks!