Use the properties of a Cauchy-Euler system to find a general solution of the given system....

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Use the properties of a Cauchy-Euler system to find a general solution of the given system. 3 1 tx'(t) = x(t), t>0 3 7 For t> 0, any Cauchy-Euler system of the form tx' = Ax with A an nxn constant matrix has nontrivial solutions of the form x(t) =t'u if and only if r is an eigenvalue of A and u is a corresponding eigenvector. x(t) =] Use the properties of a Cauchy-Euler system to find a general solution of the given system. 3 1 tx'(t) = x(t), t>0 3 7 For t> 0, any Cauchy-Euler system of the form tx' = Ax with A an nxn constant matrix has nontrivial solutions of the form x(t) =t'u if and only if r is an eigenvalue of A and u is a corresponding eigenvector. x(t) =]