The equation (2xy2+4y) dx+(2x2y+4x) dy=0 has the form M(x,y) dx+N(x,y) dy=0. Find:
∂y/∂M(x,y) = ∂x/∂N(x,y) = If the equation is exact, find a function.
a) 4xy+4, 2xy2+4y, f(x,y) =x2y2+4xy+C
b) 2xy2+4y, 4xy+4, f(x,y) =x2y2+4xy+C
c) 4x+4, 2xy2+4y, f(x,y) =x2y2+4xy+C
d) 2xy2+4y, 4x+4, f(x,y) =x2y2+4xy+C