Consider the DE `xydy/dx=(x+2)(y+2)` Find the equation of the family of curves

Consider dy/dx=-(2xy)/(x^2+1) Find the equation of the curve that passes through (1,2) and satisfies the differential equation.

Consider the DE xdy-ydx=sqrt(x^2+y^2)dx Find the general solution.

Consider the curve x^(2/3)+y^(2/3)=2 Find the equation of the normal at the point (1,1).

Consider the D.E (x^2-1)dy/dx+2(x+2)y=2(x+1) Find the integrating factor of the above diffrential equation.

Consider the D.E dy/dx+y/x=x^2 Find degree and order of DE.

Consider the D.E dy/dx+y/x=x^2 Solve the D.E.

Consider dy/dx=-(2xy)/(x^2+1) Find the general solution of the differential equation.

For the DE xydy/dx=(x+2)(y+2) ,find the solution curve passing through the point (1,-1).

Consider the D.E dy/dx+y/x=x^2 Find the particular solution when x=1 , y=1

Consider the curve y=x^2-2x+7 Find the slope of the tangent of the curve at x=2 .