Question 376206
i) {{{2xy^3 + x^2*3y^2(dy/dx) - 2x + 3(dy/dx) = 0}}},
{{{(3x^2y^2 + 3)(dy/dx) = 2x - 2xy^3}}},
{{{dy/dx = (2x(1-y^3))/(3(1+x^2y^2))}}}.

ii){{{(-2x)*(arctan y)+(1-x^2)*((dy/dx)/(1+y^2)) = 0}}},
{{{dy/dx  = (2x*(arctan y)(1+y^2))/(1-x^2)}}}