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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?