- #1
mmont012
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Homework Statement
Find the general solution
y"+3y'+2y=0
Homework Equations
y(t) =c_1e^r_1t + c_2e^r_2t
The Attempt at a Solution
a=1 b=3 c=2
r^2+3r+2=0
(r+2)(r+1)=0
r_1=-2
r_2=-1
General solution: y(t) =c_1e^(-2t)+c_2e^(-t)I was wondering if the order mattered. The answer in the book is y(t)=c_1e^(-t)+c_2e^(-2t)
I don't think that it does, but I want to make sure before continuing and submitting my hw.
If the order DOES matter, how can I get the correct order?
Thank you.