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Fizaa A.

asked • 07/27/20

Use the Eigenvalue Method to solve the following system of ODES. Please help with this question!!!

Use the Eigenvalue Method to solve the following system of ODES:

LaTeX: \left\{\begin{array}{l}
x^{\prime} (t) = - 2 \, x(t) + y(t)\\
\\
y^{\prime}(t) = - 4 \, x(t) \, - 2 \, y(t)
\end{array}\right. 

 

Hint: The corresponding coefficient matrix has a pair of complex eigenvalues.

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