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097b IVP

karush

Well-known member
Jan 31, 2012
2,886
source

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
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
731
Since y'= u, y''= u' so y''+ y'- 2y= u'+ u- 2y= 0 so u'= 2y-u.