Question: Solve the following system of first-order initial-value problems via eigenvalues and eigenvectors: dx dt dx dt = X - 2X X3; x (0) =

Solve the following system of first-order initial-value problems via eigenvalues and eigenvectors: 

Solve the following system of first-order initial-value problems via eigenvalues and eigenvectors: dx dt dx dt = X - 2X X3; x (0) = 1 = -X + X + x3; X (0) = 0 dx3 dt = X X3 X3 (0) = -2

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