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When modal analysis is desired, it must be declared in the SELECT section with the selector
MODES = integer
where integer is the number of modes to be analyzed.
The equation should then be written in the form
F(V) +LAMBDA*G(V) = H(X,Y)
Where F(V) and G(V) are the appropriate terms containing the dependent variable, and H(X,Y) is a driving source term.
The name LAMBDA is automatically declared by FlexPDE to mean the eigenvalue, and should not be declared in the DEFINITIONS section.