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anonymous

  • one year ago

All lines 1 unit distant from the origin ANS. (xy'-y)^2 = (1 + (y')^2)

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  1. anonymous
    • one year ago
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    @ganeshie8

  2. anonymous
    • one year ago
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    helo guys

  3. anonymous
    • one year ago
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    help please

  4. nincompoop
    • one year ago
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    you have multiple post

  5. nincompoop
    • one year ago
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    http://openstudy.com/study#/updates/55a88316e4b0c25fa1567648

  6. anonymous
    • one year ago
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    what is the question here?

  7. anonymous
    • one year ago
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    Just 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.

  8. anonymous
    • one year ago
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    well, 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 $$\frac{y-y_0}{x-x_0}=-\frac{x_0}{y_0}$$

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spraguer (Moderator)
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