Question

y的一阶导数=xy+x+y+1

y的一阶导数=xy+x+y+1

Answer 1

y' = xy+x+y+1 ............................(1)
y' = (x+1)(y+1).............................(2)
dy/(y+1) = (x+1)dx.........................(3)
dln(y+1) = 0.5d(x+1)²......................(4)
ln(y+1) = (x+1)²/2 + c........................(5)
y = Ce^[0.5(x+1)²] ..............................(6)

Answer 2

X+1就是了。