Please check my work (find general solution of DE)

[darryw]

Homework Statement

"find the general solution of the equation: y'' + 3y' + 2y = 0

characteristic is:
r^2 + 3r + 2 = 0

solve quadratic:
(r+2)(r+1)

r = -2
r= -1

therefore GS of equation is: y = c_1e^-2x + c_2e^-x

thanks for any help

Homework Equations

The Attempt at a Solution

 

[Mark44]

Homework Statement

"find the general solution of the equation: y'' + 3y' + 2y = 0

characteristic is:
r^2 + 3r + 2 = 0

solve quadratic:
(r+2)(r+1)

r = -2
r= -1

therefore GS of equation is: y = c_1e^-2x + c_2e^-x

thanks for any help

This is easy enough to check. For you solution, it should be that y'' + 3y' + 2y = 0. If so, your solution is correct.