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Find the general solution the following differential equations
(i) `(dy)/(dx) = (y^(2) - 2xy)/(x^(2) - xy)`
(ii) `(y^(2) - 2xy)dx + (2xy - x^(2))dy = 0`
(iii) `(3x^(2) + y^(2))dy + (x^(2) + 3y^(2))dx = 0`

Text Solution

Verified by Experts

The correct Answer is:
(i) `xysqrt(2xy - 3x^(2)) = c^(3)` (ii) `xy(y-x) = c`
(iii) `log((x+y)/(c)) = (-2xy)/((x+y)^(2))`
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