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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+1)/(2x+2y+3)`
(ii) `(2x + y +1)dx + (4x +2y-1)dy = 0`
(iii) `(dy)/(dx) = (2y+x+1)/(2+4y+3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `6y-3x+log(3x+3y+4) = c`
(ii) `x+2y+log(2x+y-1) = c`
(iii) `log(4x+8y+5) = 4x - 8y + c`
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