- #1

karush

Gold Member

MHB

- 3,269

- 5

$y''+y'-2y=0\quad y(0)= 2\quad y'(0)=0$

let $x_1=y$ and $x_2=y'$ then $x_1'= x_2$ and $y''=x_2'$

then by substitution

$x_2'+x_2-2x_1=0$

then the system of first order of equations

$x_1'=x_2$

$x_2'=-x_2+2x_1$

hopefully so far..