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#### karush

##### Well-known member

- Jan 31, 2012

- 3,068

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

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..