Converting y'' + y' - 2y = 0 into a system using substitution

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Thread starter karush
Start date Apr 8, 2021
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Ivp Second order

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karush

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MHB

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Apr 8, 2021

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Change the second-order IVP into a system of equations
$y''+y'-2y=0 \quad y(0)= 2\quad y'(0)=0$

let $u=y'$

ok I stuck on this substitution stuff

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Apr 8, 2021

Since y'= u, y''= u' so y''+ y'- 2y= u'+ u- 2y= 0 so u'= 2y-u.

Converting y'' + y' - 2y = 0 into a system using substitution

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Converting y'' + y' - 2y = 0 into a system using substitution

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