In 11–13, express the given system of higher-order
Chapter 9, Problem 13E(choose chapter or problem)
In Problems 11–13, express the given system of higher- order differential equations as a matrix system in normal form.
11. \(X^{\prime \prime}+3 x+2 y=0 \),
\(Y^{\prime \prime}-2 x=0\)
12. \(X^{\prime \prime}+3 x^{\prime}-y^{\prime}+2 y=0\)
\(Y^{\prime \prime}+x^{\prime}+3 y^{\prime}+y=0\)
13. \(X^{\prime \prime}-3 x^{\prime}+t^{2} y-(\cos t) x=0\)
\(Y^{\prime \prime \prime}+y^{\prime \prime}-t x+y^{\prime}+e^{\prime} x=0\)
Equation Transcription:
Text Transcription:
X''+3x+2y=0
Y''-2x=0
X''+3x'-y'+2y=0
Y''+x'+3y'+y=0
X''-3x'+t2y-(cos t)x=0
Y'''+y''-tx+y'+e'x=0
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