Solution of the differential equation ( frac{dy}{dx} = frac{y-x+1}{y+x+5} ) is ______

• A. ( -tan{-1} u2061 frac{y+3}{x+2} log sqrt{(x+2)^2+(y+3)^2}=c )
• B. (-tan{-1} u2061 u2061 frac{y+3}{x+2} log sqrt{(x+2)^2+(y+3)^2}=c )
• C. (tan{-1} u2061 u2061 frac{y+3}{x+2} log sqrt{x+y+5}=c )
• D. (-cot{-1} u2061 u2061 frac{y+3}{x+2} log sqrt{x+y+5}=c )