- #1
_Greg_
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Homework Statement
Ok, so I have a 2nd order differential equation, I can get the complimentary function no problem, its getting numerical values for terms in the particular integral that I can't do.
Homework Equations
y'' - y' - 2y = t2
The Attempt at a Solution
Complimentiary function:
y(t) = Ae2t + Be-t
All fine and dandy, now particular interal for t2:
ypi(t) = At2 + Bt + C
Now we find the first and second order derivatives:
First: 2At + B
Second: 2A
Now substituting these terms back into original equation:
2A - (2At + B) - 2(At2 + Bt + C) = t2
This is where I'm stuck, I'm looking at my notes for the next bit:
We can find A, B and C by equating terms, so:
t2: -2A -1
t: -2A - 2B = 0
1: 2A - b - 2C = 0
I don't understand that at all, can someone explain that a bit further?
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