The general solution of `xy_5=y_4`, where `(y_n=(d^ny)/(dx^n))` is given by

The general solution of y'+xy=4x is given by

The general solution of the equation (d^3 y)/ (dx^3) +y=0 is

The family of curves passing through (0,0) and satisfying the differential equation y_2/y_1=1 ("where", y_n=(d^ny)/dx^n) is (A) y=k (B) y=kx (C) y= k(e^x +1) (C) y= k(e^x -1)

The general solution of (y^(5)+x)(dy)/(dx) = y is

The general solution of the equation ((d^3y)/(dx^3)) - 7 ((d^2y)/(dx^2)) +16 (dy)/(dx) -12 y=0

The general solution of (x)/(y)(dy)/(dx)=root(4)((y)/(x)) is

Show that the general solution of the differential equation ((dy)/(dx)) + (y^2 + y + 1)/(x^2 + x + 1) = 0 is given by (x + y +1) = A)1-x-y-2xy) , where A is parameter.