Show that the following differential equation represents a family of hyperbolas having lines and as asymptotes.
As Danny rightly pointed out, the differential equation is actually:
Last edited by fardeen_gen; May 5th 2009 at 09:30 AM.
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Originally Posted by fardeen_gen Show that the following differential equation represents a family of hyperbolas having lines and as asymptotes. I believe there's a typo here. I think the ODE is .
I copied the text correctly.
I'll let you be the judge. The solution to your problem
and of mine .
I'm not sure how you see the asymptotes and coming out in your solution.
Can you fill in the details?
Originally Posted by fardeen_gen Can you fill in the details? The equation is seperable
Take the partial integral w.r.t x and we get
now take the derivative w.r.t y
So we get that
So we get
@ TheEmptySet - How about his
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