y'=(x-y+1)/(x+y-3)通解

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y''=(x-y+1)/(x+y-3)通解y''=(x-y+1)/(x+y-3)通解y''=(x-y+1)/(x+y-3)通解(x+y^2+3)dy=(x-y+1)dx或:xdy+ydx+(y^2+3)dy

y'=(x-y+1)/(x+y-3)通解
y'=(x-y+1)/(x+y-3)通解

y'=(x-y+1)/(x+y-3)通解
(x+y^2+3)dy=(x-y+1)dx
或:xdy+ydx+(y^2+3)dy-(x+1)dx=
d(xy)+(y^2+3)dy-(x+1)dx=0
通解为:xy+y^3/3+3y-x^2/2-x=C