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BillyHII

  • one year ago

Verify that (x^2)+c(y^2)=1, where c is an arbitrary nonzero constant, is a one-parameter family of implicit solutions to (dy/dx)=(xy)/(x^2-1). Thanks in advance to any help.

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  1. satellite73
    • one year ago
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    i am not well veresed in difeq, but i think you just take the derivative and see what you get

  2. amoodarya
    • one year ago
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    |dw:1358262446531:dw|

  3. amoodarya
    • one year ago
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    |dw:1358262525431:dw|

  4. satellite73
    • one year ago
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    i like @amoodarya solution better, i was just messing around with implicit diff which ignored the \(c\)

  5. amoodarya
    • one year ago
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    so find c

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