Solve the differential equation `x(x^2-1)(dy)/(dx)=1`, given that when `x=2, y=0`.

Solve the differential equation (1+x^(2))(dy)/(dx)=x .

Solve the differential equation (x-1)(dy)/(dx)=2xy , given that y(2)=1

Solve differential equation (x+2y^2)(dy)/(dx)=y , given that when x=2,\ y=1

solve the differential equation (1+x^2)dy/dx=x

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

Find the particular solution of the differential equation (x-y)(dy)/(dx)=x+2y ,\ given that when x=1,\ y=0.

Solve the differential equation: (dy)/(dx)+y/x=x^2

Solve the differential equation : (dy)/(dx)-y/x=2x^2

Solve the differential equation y^(2)(dx)/(dy) + x = 1 .

Solve the differential equation: y\ dx+(x-y^2)dy=0