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anonymous

  • 5 years ago

solve the diff eq dy\dx+3x^2*y=x^5*e^x^3

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  1. anonymous
    • 5 years ago
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    this follows the same method

  2. anonymous
    • 5 years ago
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    as above

  3. anonymous
    • 5 years ago
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    Yes, Here u Chose U as U = e^int( 3x^2)

  4. anonymous
    • 5 years ago
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    \[U \times y \int\limits_{}^{} U \times x ^{5\times}e ^{x ^{3}}\]

  5. anonymous
    • 5 years ago
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    no...not required, u can take u=x^3

  6. anonymous
    • 5 years ago
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    aha, count it as a seperabel?

  7. anonymous
    • 5 years ago
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    after simplification, the eq. becomes \[y dy = (1/3) (x^3 . e^ (x^3))

  8. anonymous
    • 5 years ago
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    ignore \[ in the beginning

  9. anonymous
    • 5 years ago
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    so in RHS, u can take u=x^3 and solve....okay?

  10. anonymous
    • 5 years ago
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    Are u sure u have done right ..

  11. anonymous
    • 5 years ago
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    hmmm

  12. anonymous
    • 5 years ago
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    aren't you getting the same?

  13. anonymous
    • 5 years ago
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    noo?

  14. anonymous
    • 5 years ago
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    \[Dy \div Dx + 3x ^{2} y=x ^{5} e ^{x ^{3}}\]

  15. anonymous
    • 5 years ago
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    he means i hope..

  16. anonymous
    • 5 years ago
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    yeah its the same eq the ans is \[12y=e ^{x ^{3}}(2x^3-1)+ce ^{-x ^{3}}\] how to get that?

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