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Q.

The solution of d.E x2+y2+xdx−2x2+2y2−ydy=0 is

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a

x−2y+lnx2+y2=c

b

x−2y+lnx2−y2=c

c

x−2y+lnx2+2y2=c

d

x−2y+12lnx2+y2=c

answer is D.

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Detailed Solution

x2+y2dx−2x2+y2dy+xdx+ydy=0⇒dx−2dy+xdx+ydyx2+y2=0 Integrations both sides x−2y+12ln⁡x2+y2=c
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