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Find the general solution of the followi...

Find the general solution of the following D.E's
(i) `(dy)/(dx) = (x-y+3)/(2x-2y+5)`
(ii) `(x-y)dy = (x+y+1) dx`

Text Solution

Verified by Experts

The correct Answer is:
(i) x-2y + log (x-y + 2) = c
(ii) `[2 tan^(-1)((2y+1)/(2x+1)) = log|c^(2)(x^(2)+y^(2)+x+y+(1)/(2))|]`
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