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lilMissMindset Group Title

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

  • 2 years ago
  • 2 years ago

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  1. zepdrix Group Title
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    |dw:1350355096186:dw| So what kind of complimentary solution did you get? Was there any overlap? :)

    • 2 years ago
  2. mahmit2012 Group Title
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    D=-1 , 2 Yp=Ax+B+Cxe-x find A B C

    • 2 years ago
  3. zepdrix Group Title
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    Woops I should have called the exponential term C, sorry about that.

    • 2 years ago
  4. mahmit2012 Group Title
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    but you mentioned Yp1 and its ok.

    • 2 years ago
  5. mahmit2012 Group Title
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    so Yp2=Cxe-x

    • 2 years ago
  6. lilMissMindset Group Title
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    Yp2 is the same as in the auxillary eqtn

    • 2 years ago
  7. mahmit2012 Group Title
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    no it has x so xe-x

    • 2 years ago
  8. lilMissMindset Group Title
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    yes, multiplied it with x, and then?

    • 2 years ago
  9. lilMissMindset Group Title
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    what will be the value of C?

    • 2 years ago
  10. mahmit2012 Group Title
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    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

    • 2 years ago
  11. mahmit2012 Group Title
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    Tricky it is -2

    • 2 years ago
  12. lilMissMindset Group Title
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    how is that so? i keep on getting 3/2

    • 2 years ago
  13. mahmit2012 Group Title
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    I found it with Laplace !

    • 2 years ago
  14. lilMissMindset Group Title
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    teach me master. what is laplace?

    • 2 years ago
  15. mahmit2012 Group Title
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    no it is 6/(-1-2)=-2

    • 2 years ago
  16. mahmit2012 Group Title
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    Don't pay attention that just put in DE and find out A B C especially C. C=-2

    • 2 years ago
  17. lilMissMindset Group Title
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    i get it. jeeeeeez, stupid mistake.

    • 2 years ago
  18. lilMissMindset Group Title
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    thanks a lot!

    • 2 years ago
  19. mahmit2012 Group Title
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    for A B 0-A-2(Ax+B)=6x A=-3 B=3/2

    • 2 years ago
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