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Second Order Linear Partial Differential Equations Part IV

Second Order Linear Partial Differential Equations Part IV

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Eigenvalues: 2 2 2 L n π λ= , n = 1, 2, 3, … Eigenfunctions: L n x X n π =sin , n = 1, 2, 3, … Next, substitute the eigenvalues found above into the second equation to find T(t). After putting eigenvalues λ into it, the equation of T becomes 0 2 2 2 ′′+ 2 T= L n T a π. It is a second order homogeneous linear equation with constant ...

  Linear, Equations, 2 2 2

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