`(x^(2)+ 1) dy/dx+ 2xy = 4x^(2)`

(1+x^(2)) dy/dx + 2xy = 4x^(2), given y = 0 , when x = 0

(1 + x^(2)) (dy)/(dx) + 2xy = 4x ^(2) , given that y = 0 , when x =0

If the solution of (1 + x^(2) )dy/dx + 2xy - 4 x^(2) = 0 is 3y(1+x^(2)) = kx^(3) + c, then the value of k is -

The solution of (1 + x^(2)) (dy)/(dx) + 2xy - 4x^(2) = 0 is

The solution of (1-x^(2)) (dy)/(dx) + xy = xy^(2) is

The solution of (x^(2) + 1) (dy)/(dx) + 4xy = (1)/(x^(2) + 1) is

The solution of (x^(2) -1) (dy)/(dx) + 2xy = 1 is

(x^(2)+1)(dy)/(dx)=xy