# beam equation

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• Jun 20th 2013, 11:10 PM
pinkfrog
beam equation
Solve equation:

$-u_{xxxx}(x,t)=\lambda u(x,t)$, $0
$u(0)=u(L)=0$, $u_{xx}(0)=u_{xx}(L)=0$
• Jun 22nd 2013, 02:56 PM
mopen80
Re: beam equation
Hi ,

Using Matlab Dsolve function i get that u=0; no beam deflection!
• Jul 6th 2013, 01:18 PM
HallsofIvy
Re: beam equation
You don't really need "DSolve". The general solution to any linear homogeneous differential equation is a linear combination of the elementary solutions. The conditions that all values be 0 then must give u identically equal to 0 as the solution. (And it should be easy to see that u= 0 for all x does satisfy the equation and additional conditions.)