Question

second-order diff equation:
y'' + 6y' + 8 = 0
the auxillary equation is then:
r^2 + 6r + 8 = 0

r=-6, r = -2
so:
\[y=c_1e^{-6x} + c_2e^{-2x}\]
?

Answer 1

that's correct

Answer 2

ty

Answer 3

oh wait no... hold on lol

Answer 4

huh?

Answer 5

it's wrong, r should be -2 or -4

Answer 6

oh, i was thinking of the example in my book xD mb..
\[y = c_1e^{-4x} + c_2e^{-2x}\]