`x(dy)/(dx)+y=3x^2-2, x gt0`

A solution curve of the differential equation (x^(2)+xy+4x+2y+4)(dy)/(dx)-y^(2)=0, x gt0 , passes through the point (1, 3). Then the solution curve-

Solve the differential equation x (dy )/(dx) - y = 2 x^(3), x gt 0

Solve the following differential equations (x + 3y^2)(dy)/(dx) = y (y gt 0)

(dy/dx)+(2/x)y=sinx , x gt 0

Solve the differential equation (x + 3y^2) (dy)/( dx) = y, (y gt 0) .

(dy)/(dx)=(3x+2y)/(2x-3y)

3x^(2)y+(dy)/(dx)=0