Question

Let's see how I did...
\[y''+3y'=0\]
\[r^2+3r=0\]
\[r(r+3)=0\]
r=o or r=-3
\[y=c_2e^{-3x}\]

Answer 1

Yes, you are correct. Don't forget the other constant, though!

Answer 2

I thought the other constant is zero?

Answer 3

Nope, it's \(c_1e^0=c_1\)

Answer 4

oh I see. Thanks!

Answer 5

Yep!