```Date: Jan 31, 2013 3:38 PM
Author: Cody
Subject: Solving Second Order Homogeneous Diff Eq

Hello everyone, I'm trying to solve the standard 2nd order differential equation with constant coefficients listed below under the specified boundary conditions:-dP(x)^2/dx^2 = C * P(x) where C=(2*E*m)/h^2under the boundary conditions P(-L/2)=0 and P(L/2)=0 for some constant L>0.Matlab is able to solve the equation with the expected general solution, however, when I apply the boundary conditions, the 'dsolve' command fails. I know a solution exists under these boundary conditions because I can successfully solve the equation by hand, and the solution is listed in a textbook.Matlab correctly calculates the general solution 'P(x)':syms C E m h P(x) realC=(E*2*m)/h^2;assume(C>0 & E>0 & m>0 & h>0)P(x)=dsolve( -diff(P,2)==C*P )However, when I attempt to apply the boundary conditions Matlab calculates P(x)=0. I would appreciate any advice on how to correctly setup Matlab to solve this type of differential equation.syms C E m h L P(x) realC=(E*2*m)/h^2;assume(C>0 & E>0 & m>0 & h>0 & L>0)P(x)=dsolve( -diff(P,2)==C*P, P(-L/2)==0, P(L/2)==0 )Thank you,-MntGoat
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