In 11–13, express the given system of higherorder

Chapter 9, Problem 11E

(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. $X^{\prime \prime}+3+2 y=0$

$Y^{\prime \prime}-2 x=0$

12. $X^{\prime \prime}+3 x^{\prime}-y^{\prime}+2 y=0$

$Y^{\prime \prime}+x^{\prime}+3 y^{\prime}+y=0$

13. $X^{\prime \prime}-3 x^{\prime}+t^{2} y-(\cos t) x=0$

$Y^{\prime \prime \prime}+y^{\prime \prime}-t x^{\prime}+y^{\prime}+e^{\prime} x=0$

Equation Transcription:

$X''+3+2y=0$

$Y''-2x=0$

$X''+3x'-y'+2y=0$

$Y''+x'+3y'+y=0$

$X''-3x'+{t}^{2}y-(cos\ t)x=0$

$Y'''+y''-tx'+y'+e'x=0$

Text Transcription:

X''+3+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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