Question: Cauchy-Euler Systems The system where A is a constant matrix and t > 0.is called a system. (a) Show tht the Cauchy-Euler system has a

Cauchy-Euler Systems The systemrx = Ai, Cauchy-Eulerwhere A is a constant matrix and t > 0.is called asystem.

(a) Show tht the Cauchy-Euler system has a solution of the form where λ is an eigenvalue of A and is a corresponding eigenvector.

(b) Solve the Cauchy-Euler system

rx = Ai, Cauchy-Euler

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