e^y*2xdx+x^2e^ydy+2ydy=0

= & gt(x^2e^y+2y)dy=-e^y*2xdx

= & gtdy/dx=(-e^y*2x)÷(x^2e^y+2y)

= & gtdy/dx( 1,0)=(-e^0*2)÷( 1^2e^0+0)=-2÷ 1=-2