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DrunkApple

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## Homework Statement

Determine the general solution of the system of homogeneous differential equations.

The system of homogeneous differential equations is:

X'[itex]_{1}[/itex](t) = 141x[itex]_{1}[/itex](t) - 44x[itex]_{2}[/itex](t)

X'[itex]_{2}[/itex](t) = 468x[itex]_{1}[/itex](t) - 146[itex]_{2}[/itex](t)

What is Eigenvalues of Coefficient Matrix?

What is corresponding eigenvectors?

What is expression for x[itex]_{1}[/itex](t)?

What is expression for x[itex]_{2}[/itex](t)

## Homework Equations

## The Attempt at a Solution

What is Eigenvalues of Coefficient Matrix?

|144 - 44 | = A

|146 -146|

det|144-λ -44 | = P(λ)

|468 -146-λ|

= (144-λ)(-146-λ) - (-44)(468)

= -21024 -144λ +146λ + λ[itex]^{2}[/itex] + 20592

= λ[itex]^{2}[/itex] +2λ -432

Do I use quadratic equation to find λ?