2x(ye^x^2-1)dx+(e^x^2)dy=0
(ye^x^2-1)d(x^2)+(e^x^2)dy=0
yd(e^x^2)-d(x^2)+(e^x^2)dy=0
d(ye^x^2-x^2)=0
ye^x^2-x^2=C(C为任意常数)
y=(x^2+C)*e^(-x^2)
2x(ye^x^2-1)dx+(e^x^2)dy=0
(ye^x^2-1)d(x^2)+(e^x^2)dy=0
yd(e^x^2)-d(x^2)+(e^x^2)dy=0
d(ye^x^2-x^2)=0
ye^x^2-x^2=C(C为任意常数)
y=(x^2+C)*e^(-x^2)