The solution of \( (y+x+5) d y=(y-x+1) d x \) is
\( \mathrm{P} \)
(...
The solution of \( (y+x+5) d y=(y-x+1) d x \) is
\( \mathrm{P} \)
(1) \( \log \left((y+3)^{2}+(x+2)^{2}\right)+\tan ^{-1} \frac{y+3}{y+2}+C \)
(2) \( \log \left((y+3)^{2}+(x-2)^{2}\right)+\tan ^{-1} \frac{y-3}{x-2}=C \)
(3) \( \log \left((y+3)^{2}+(x+2)^{2}\right)+2 \tan ^{-1} \frac{y+3}{x+2}=C \)
(4) \( \log \left((y+3)^{2}+(x+2)^{2}\right)-2 \tan ^{-1} \frac{y+3}{x+2}=C \)
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