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anonymous

  • 5 years ago

use the exact method to solve the DE: 2xydx + x^2ydy=0

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  1. anonymous
    • 5 years ago
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    Are you confused as to how it's done? Just wanting to check your answer or what?

  2. anonymous
    • 5 years ago
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    i checked for exactness and it wasn't exact so I used the next method to check for exactness and it looks as thought I got something but unsure

  3. anonymous
    • 5 years ago
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    It doesn't look exact to me because the term on the left has an extra y in it.

  4. anonymous
    • 5 years ago
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    using the test for exactness it doesnt come out exact but when you use integrating factors to solve then it works

  5. anonymous
    • 5 years ago
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    its not an exact diff equation. divide throughout by x^2y and reduce it to separable form and solve it. its easy

  6. anonymous
    • 5 years ago
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    if i used integrating factor method i was tuahgt to do if it doesnt come out exact then i get the integrating factor of e^(y-ln(y))

  7. anonymous
    • 5 years ago
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    how did u check the exactness?

  8. anonymous
    • 5 years ago
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    partial derivative of M with respect to y and partial derivative of N with respect to x and see if they are equal

  9. anonymous
    • 5 years ago
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    P(x,y)=2xy Q(x,y)=x^2y for exactness partial derivative of p w.r.ty=partial derivative of Q w.r.t x

  10. anonymous
    • 5 years ago
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    there is a method uzma ,differentiate the term with dx with respect to y and the term with dy with respect to x ,if both differentiated terms become equal then they r exact,otherwise non exact

  11. anonymous
    • 5 years ago
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    yes right :)

  12. anonymous
    • 5 years ago
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    com for chat uzma

  13. anonymous
    • 5 years ago
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    so what do u guess about the exactness?

  14. anonymous
    • 5 years ago
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    when doing that they come out non exact and then there is a method to use after that where you use integrating factors after applying an equation and then go from there

  15. anonymous
    • 5 years ago
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    not exact initially

  16. anonymous
    • 5 years ago
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    any help??

  17. anonymous
    • 5 years ago
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    the eq is exact

  18. anonymous
    • 5 years ago
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    non exact...m sorry :)

  19. anonymous
    • 5 years ago
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    so the eq can made by multiplying with intgrating factor

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