anonymous
  • anonymous
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.
Differential Equations
schrodinger
  • schrodinger
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anonymous
  • anonymous
i am not well veresed in difeq, but i think you just take the derivative and see what you get
amoodarya
  • amoodarya
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amoodarya
  • amoodarya
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anonymous
  • anonymous
i like @amoodarya solution better, i was just messing around with implicit diff which ignored the \(c\)
amoodarya
  • amoodarya
so find c

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