Home
Class 11
PHYSICS
How many arbitrary constants will be the...

How many arbitrary constants will be there in the general solution of a second order differential equation?
a) 3
b) 4
c) 2
d) 1

Text Solution

Verified by Experts

`I+2xx10^-3kg-m^2`
`I=3xx10^-3kg-m^2`
=omega_1=2rad/s`
From the earth reference the umbrella has an angular velocity =`(omega_1-omega_2)`
and the angular velocity of the man will be `omega_2`.
Therefore `I_1(omega_1-omega_2)=I_2(omega_2)`
`rarr 2xx10^-3(2-omega_2)=I_2(omega_2)`
`-2xx10^-3(2-omega_2)=3xx10^-3xomega_2`
`rarr 5omega_2=4`
`rarr omega_2=0.8rad/s`
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of arbitary constants in the general solution of a differential equation of fourth order are :

Find the general solution of the differential equation (dy)/(dx) = (x+1)/(2 - y), (y ne 2) .

Find the general solution of the differential equation (dy)/(dx) = (1 + y^(2))/(1 + x^(2)) .

Find the general solution of the differential equation x (dy)/(dx) + 2y = x^(2)(x ne 0) .

The general solution of the differential equation e^(x) dy + (y e^(x) + 2x)dx = 0 is

The number of arbitrary constants in the particular solution of a differential equation of third order are …….

The number of arbitary constants in the particular solution of a differential equation of third order are :

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:

Find the general solutions of the following equations : 2sintheta+1=0