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i am stuck with this DE problem. help please, anybody. (D^2 - D -2)y=6x+6e^(-x)

Mathematics
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|dw:1350355096186:dw| So what kind of complimentary solution did you get? Was there any overlap? :)
D=-1 , 2 Yp=Ax+B+Cxe-x find A B C
Woops I should have called the exponential term C, sorry about that.

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Other answers:

but you mentioned Yp1 and its ok.
so Yp2=Cxe-x
Yp2 is the same as in the auxillary eqtn
no it has x so xe-x
yes, multiplied it with x, and then?
what will be the value of C?
then put in DE and find the values of A B C Y=c1e-x + c2e2x + Ax+B+Cxe-x c1 & c2 are unknown , but A B C is exactly known
Tricky it is -2
how is that so? i keep on getting 3/2
I found it with Laplace !
teach me master. what is laplace?
no it is 6/(-1-2)=-2
Don't pay attention that just put in DE and find out A B C especially C. C=-2
i get it. jeeeeeez, stupid mistake.
thanks a lot!
for A B 0-A-2(Ax+B)=6x A=-3 B=3/2

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