The number of arbitrary constants in the general solution of a differential equation of order 5 are

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

(i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//dx)=0 is… (ii) The degree of the differential equation sqrt(1+((dy)/(dx))^(2))="x is"....... (iii) The number of arbitrary constant in the general solution of differential equation of order three is.. (iv) (dy)/(dx)+(y)/(x log x)=(1)/(x) is an equation of the type.... (v) General solution of the differential equation of the type is givven by... (vi) The solution of the differential (xdy)/(dx)+2y=x^(2) is.... (vii) The solution of (1+x^(2))(dy)/(dx)+2xy-4xy^(2)=0 is... (viii) The solution of the differential equation ydx+(x+y)dy=0 is .... (ix) Genergal solution of (dy)/dx)+y=sin x is.... (x) The solution of differential equation cot y dx=xdy is.... (xi) The integrating factor of (dy)/(dx)+y=(1+y)/(x) is.....

The numbers of arbitrary constants in the general solution of a differential equation of fourth order are :

Number of arbitrary constant in the general solution of a differential equation is equal to order of D.E.

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 number of arbitrary constants in the particular solution of differential equation of third order is

The numbers of arbitrary constants in the particular solution of a differential equation of third order are :

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

What is the number of arbitrary constant in the particular solution of differential equation of third order ?

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.