anonymous
  • anonymous
i am stuck with this DE problem. help please, anybody. (D^2 - D -2)y=6x+6e^(-x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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zepdrix
  • zepdrix
|dw:1350355096186:dw| So what kind of complimentary solution did you get? Was there any overlap? :)
anonymous
  • anonymous
D=-1 , 2 Yp=Ax+B+Cxe-x find A B C
zepdrix
  • zepdrix
Woops I should have called the exponential term C, sorry about that.

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

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