Also determine its behavior as t increases.
6y'' - 5y' + y = 0 y(0) = 4 y'(0) = 0
I found the general solution to be y = C1*e^(t/2) + C2*e^(t/3)
C1 + C2 = 4
(1/2)*C1 + (1/3)*C2 = 0
I substituted in C1 and solved that way getting the 4 for C1 and 3 for C2. Obviously I did something wrong here, any ideas? Thanks!