Solved: In 29 and 30, find a general solution to the given
Chapter 9, Problem 30E(choose chapter or problem)
In Problems 29 and 30 , find a general solution to the given Cauchy-Euler system for \(t>0\). (See Problem 42 in Exercises 9.5.) Remember to express the system in the form
\(x^{\prime}(t)=A(t) x(t)+f(t)\) before using the variation of parameters formula.
\(t \mathbf{x}^{\prime}(t)=\left[\begin{array}{ll} 4 & -3 \\ 8 & -6
\end{array}\right] \mathbf{x}(t)+\left[\begin{array}{c} t \\ 2 t \end{array}\right]\)
Equation Transcription:
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Text Transcription:
t>0
x'(t)=A(t)x(t)+f(t)
tx'(t)=[ 4 -3 8 -6 ]x(t)+[ t 2t]
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