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anonymous
 one year ago
All lines 1 unit distant from the origin ANS. (xy'y)^2 = (1 + (y')^2)
anonymous
 one year ago
All lines 1 unit distant from the origin ANS. (xy'y)^2 = (1 + (y')^2)

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nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0you have multiple post

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0http://openstudy.com/study#/updates/55a88316e4b0c25fa1567648

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what is the question here?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just a guess: Find an ODE whose general solution is the family of curves that satisfy some property. What that property might be, I'm not so sure. "All lines 1 unit distant from the origin" ? idk what to make of that.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well, those are just tangent lines to \(x^2+y^2=1\), so $$2x+2yy'=0\\x+yy'=0\\y'=\frac{x}y$$so \(\dfrac{dy}{dx}=\dfrac{x_0}{y_0}\) which gives $$\frac{yy_0}{xx_0}=\frac{x_0}{y_0}$$
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