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qrious126

  • 2 years ago

This is one requires substitution, but i don't what i am doing wrong...

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  1. qrious126
    • 2 years ago
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    \[yy \prime+x=(x ^{2}+y ^{2})^{1/2}\]

  2. qrious126
    • 2 years ago
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    i tried subsitituting \[u = x ^{2}+y ^{2}\]

  3. qrious126
    • 2 years ago
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    @UnkleRhaukus

  4. UnkleRhaukus
    • 2 years ago
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    why did you think of that substitution?

  5. qrious126
    • 2 years ago
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    because it would simplify the right side tremendously...but not too sure.

  6. UnkleRhaukus
    • 2 years ago
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    but what would y' become?

  7. qrious126
    • 2 years ago
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    \[(1/y)((du/dx)-x)\]

  8. qrious126
    • 2 years ago
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    but when i substitute it get very messy.

  9. UnkleRhaukus
    • 2 years ago
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    substitute and try that simplification again

  10. UnkleRhaukus
    • 2 years ago
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    the mess should work it self out

  11. qrious126
    • 2 years ago
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    ok thanks!

  12. UnkleRhaukus
    • 2 years ago
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    tell me what you get,

  13. qrious126
    • 2 years ago
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    this is what i have so far...

  14. qrious126
    • 2 years ago
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    \[1/y \left( (u-x ^{2})^{1/2} - x(u-x ^{2})^{1/2} \right) + x = u ^{1/2}\]

  15. qrious126
    • 2 years ago
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    oh wait ....i forgot about that y

  16. qrious126
    • 2 years ago
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    got it!

  17. qrious126
    • 2 years ago
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    i get c.

  18. qrious126
    • 2 years ago
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    thank you very much!

  19. UnkleRhaukus
    • 2 years ago
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    \[u'=√u\]

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