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swin2013

  • 3 years ago

Implicit function

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  1. swin2013
    • 3 years ago
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    \[2x + 2ydy/dx = 0 \]

  2. swin2013
    • 3 years ago
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    I got \[\int\limits dy dy/dx = \int\limits - 2x \] \[y^2 = -x^2 + C\] the only problem is that I can't take a square root of a negative... am I doing something wrong?

  3. swin2013
    • 3 years ago
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    *y dy/dx

  4. zepdrix
    • 3 years ago
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    Nope! Looks good! You don't really want to solve this one explicitly for y unless the directions say so. Notice how if you add x^2 to both sides, it's the equation of a circle! :D

  5. swin2013
    • 3 years ago
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    lol yea, i had 2 solutions. down for the slope fields. so it's x^2+ y^2 = C?

  6. zepdrix
    • 3 years ago
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    yah that sounds right c:

  7. swin2013
    • 3 years ago
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    oooohh thank-yuh!

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