Find the equation of a curve passing through

Question:

Find the equation of a curve passing through (2, 1) if the slope of the tangent to the curve at any point (xy) is (x2 + y2)/ 2xy.

Solution:

Given that the slope of tangent to a curve at (x, y) is (x2 + y2)/ 2xy.

It’s a homogeneous differential function

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