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Question: Solving nonlinear 2nd order ode

Question:Solving nonlinear 2nd order ode

rpd2579 5 Maple
ode
October 26 2010
0

Hi,

I am new to maple and this is my first question in this forum.

Please help me in finding an analytical solution to the 2nd order ode.

ode:=diff(y(x),x$2) -( a y(x) - y(x)^3 + y(x)^5 ) = 0

bcs:= D(y)(0) = 0, y(2) = 0, y(0) = 1.31

where a is a constant.

I am bit confused about the boundary conditions. I have three boundary conditions instead of two.

The first two boundary conditions yield trivial y(x) = 0 solution.so added the third bc.

How to solve this problem analytically? I am finding difficulty in evaluating the constants in the solution.

Please share your expertise.

Thx in advance,

Rakesh
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