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Find the general solutions of the follow...

Find the general solutions of the following differential equations.
(i) `(xy^(2) +x)dx+(yx^(2)+y)dy = 0`
(ii) `(dy)/(dx) = (y^(2)+2y)/(x-1)`
(iii) `(e^(x) +1)ydx + (y+1)dx = 0`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(x^(2) +1)(y^(2) +1) = C`
(ii) `y = c^(2) (x-1)^(2)(y+2)`
(iii) `e^(x+y) = c(y+1)(e^(x) +1)`
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