求解常微分方程x+y+1+(-x+y-3)y'=0

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求解常微分方程x+y+1+(-x+y-3)y'=0
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求解常微分方程x+y+1+(-x+y-3)y'=0
求解常微分方程x+y+1+(-x+y-3)y'=0

求解常微分方程x+y+1+(-x+y-3)y'=0
(x+y+1)dx=(x-y+3)dy
1/2x^2+xy+x=xy-1/2y^2+3y
x^2+y^2+2x-6y=0
x^2+2x+1+y^2-6y+9-1-9=0
(x+1)^2+(y-3)^2=10