- #1

smerhej

- 20

- 0

## Homework Statement

We have y'' + 4y' + 4y = 0 ; find the general solution.

## Homework Equations

Reduction of Order.

## The Attempt at a Solution

So when determining the roots of the characteristic equation, -2 was a double root, and therefore we can't simply have c

_{1}e

^{-2t}+ c

_{2}e

^{-2t}. So I thought I would use reduction of order to get a second equation. However in the solution, they just left it c

_{1}e

^{-2t}+ c

_{2}e

^{-2t}and I'm wondering if what I was taught to do in the case of non distinct roots was wrong, or if the solution is wrong.

Last edited: