The number of arbitrary constants in the general solution of a differential equation of fourth order are: (A) 0 (B) 2 (C) 3 (D) 4

The number of arbitrary constants in the general solution of a differential equationof fourth order are:(A) 0 (B) 2 (C) 3 (D) 4

The number of arbitrary constants in the particular solution of a differential equation of third order are: (A) 3 (B) 2 (C) 1 (D) 0

The number of arbitrary constants in the particular solution of a differential equation of third order are: (A) 3 (B) 2 (C) 1 (D) 0

The number of arbitrary constants in the particular solution of a differential equation of third order are: (A) 3 (B) 2 (C) 1 (D) 0

Assertion: The general solution of ( dy ) /( dx) + y =1 is y e^x = e ^(X)+C Reason: The number of arbitrary constant in the general solution of the differential equation is equal to the order of D.E.

The general solution of the differential equation (y dx-x dy)/y=0 is(A) x y = C (B) x=C y^2 (C) y = C x (D) y=C x^2

Statement 1 : Order of a differential equation represents the number of arbitrary constants in the general solution. Statement 2 : Degree of a differential equation represents the number of family of curves. Which of the following Statement is/are are correct ?

if a, b are arbitrary constants, find the differential equation of y=acosnx+bsinnx

The general solution of the differential equation (y dx-x dy)/y=0 is (A) x y" "=" "C (B) x=C y^2 (C) y" "=" "C x (D) y=C x^2

If y=x/(In|cx|) (where c is an arbitrary constant) is the general solution of the differential equation (dy)/(dx)=y/x+phi(x/y) then function phi(x/y) is: