Consider the ODE u" + lambda u=0 with the boundary conditions u'(0)=u'(M)=0, where M is a...

Consider the ODE u" + lambda u=0 with the boundary conditions u'(0)=u'(M)=0, where M is a fixed positive constant. So u=0 is a solution for every lambda,

Determine the eigen values of the differential operators: that is

a: find all lambda such that the above ODE with boundary conditions has non trivial sol.

b. And, what are the non trivial eigenvalues you obtain for each eigenvalue

Expert Solution

Colby Messinger answered 2 years ago

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