Question

For what values of r does the function
y = erx

Satisfy the equation
y'' + 5y' + 6y = 0?

Answer 1

do you mean y = e^rx ?

r^2 e^rx + 5 r e^rx + 6 e^rx = 0

r%2 + 5 r + 6 = 0
(r+3)(r+2) = 0
r = -3 or -2