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The solution of (y+x+5)dy=(y-x+1)dx is...

The solution of `(y+x+5)dy=(y-x+1)dx` is

A

`log((y+3)^(2)+(x+2)^(2))+tan^(-1).(y+3)/(y+2)+C`

B

`log((y+3)^(2)+(x-2)^(2))+tan^(-1).(y-3)/(x-2)=C`

C

`log((y+3)^(2)+(x+2)^(2))+2tan^(-1).(y+3)/(x+2)=C`

D

`log((y+3)^(2)+(x+2)^(2))-2tan^(-1).(y+3)/(x+2)=C`

Text Solution

Verified by Experts

The correct Answer is:
C
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