- #1
TG3
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Homework Statement
Find the general solution for:
y''+2y'+5y=3sin2t
The attempt at a solution
y''+2y'+5y=3sin2t
First step is to find the general solution to the homogenous equation, so skipping 2 steps (letting y=e^rt and dividing)
R^2+2r+5
(-2+/- sqroot(4-4*5))/2
=-1 +/- 2i
How do I put this complex number into my equation? Were it not for the 2i I'd say c1E^-T +c2Te^-T. Were it not for the -1 I'd say Acos(T) +Bsin(T).
But how do I combine them?
Find the general solution for:
y''+2y'+5y=3sin2t
The attempt at a solution
y''+2y'+5y=3sin2t
First step is to find the general solution to the homogenous equation, so skipping 2 steps (letting y=e^rt and dividing)
R^2+2r+5
(-2+/- sqroot(4-4*5))/2
=-1 +/- 2i
How do I put this complex number into my equation? Were it not for the 2i I'd say c1E^-T +c2Te^-T. Were it not for the -1 I'd say Acos(T) +Bsin(T).
But how do I combine them?