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lilMissMindset

  • 2 years ago

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

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  1. zepdrix
    • 2 years ago
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    |dw:1350355096186:dw| So what kind of complimentary solution did you get? Was there any overlap? :)

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

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

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

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

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

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

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

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

  10. mahmit2012
    • 2 years ago
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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

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

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

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

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

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

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

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

  18. lilMissMindset
    • 2 years ago
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    thanks a lot!

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

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