11. x (*+r+x+1) dy = 2x2 + x3y = 1 afa x = 0 dx

(x+2y +1) dx - (2x + 4y +3)dy = 0, x+2y = u

x(1-x^(2)) dy + (2x^(2)y-y-5x^(3)) dx = 0

(2x -2y +3) dx - (x -y +1) dy = 0 , x -y =u

x(x-1) (dy)/(dx) - (x-2) y = x^3 (2x-1)

(i)If y = x^(3) + x^(2) + x +1 then dy/dx at x = 1 is 0 (ii)If y=sin^(-1)((2x)/(1+x^(2))) then dy/dx = tanx (iii) y = x^(x) dy/dx = x^(x)[1+logx] (iv) y = tan^(-1)x, dy/dx = 1/(1 + x^(2) state which pair of the statement given above are true.

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

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