find dy/dx x^2y=xy^2

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02-11-2017
Mathematics

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find dy/dx x^2y=xy^2

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mathstudent55 mathstudent55 · Answer 1 · 2017-11-02T17:52:15+01:00

mathstudent55 mathstudent55

02-11-2017

x^2y=xy^2

Differentiate implicitly.

x^2y' + y(2x) = x(2yy') + y^2

x^2y' + 2xy = 2xyy' + y^2

x^2y' - 2xyy' = y^2 - 2xy

y'(x^2 - 2xy) = y^2 - 2xy

y' = (y^2 - 2xy)/(x^2 - 2xy)

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