The equation
`(d^2y)/(dt^2)+b(dy)/(dt)+omega^2y=0`
represents the equation of motion for a

The equation (d^(2)y)/(dt^(2))+b(dy)/(dt)+omega^(2)y=0 represents the equation of motion for a……………….vibration.

If the differential equation given by (d^(2)y)/(dt^(2))+2k(dy)/(dt)+omega^(2)y=F_(0)sin pi t describes the oscillatory motion of body in a dissipative medium under the influence of a periodic force, then the state of maximum amplitude of the oscillation is a measure of

The equation, (d^(2)x)/(dt^(2))+ax=0 , represents an SHM. Find its time period.

In the differl equation (d^(2)x)/(dt^(2))+omega^(2)x=0 , for a simple harmonic motion, the term omega^(2) represents

The equation of a damped simple harmonic motion is m(d^2x)/(dt^2)+b(dx)/(dt)+kx=0 . Then the angular frequency of oscillation is

The equation of a damped simple harmonic motion is m(d^2x)/(dt^2)+b(dx)/(dt)+kx=0 . Then the angular frequency of oscillation is

The equation of a damped simple harmonic motion is m(d^2x)/(dt^2)+b(dx)/(dt)+kx=0 . Then the angular frequency of oscillation is

The differential equation m frac(d^2x)(dt^2)+b frac(dx)(dt) +k(x) = 0 represent

Order and degree of the differential equation (d^(2)x)/(dt^(2))+((dx)/(dt))^(2)+7=0 respectively are

Let x=x(t) and y=y(t) be solutions of the differential equations (dx)/(dt)+ax=0 and (dy)/(dt)+by=0] , respectively, a,b in R .Given that x(0)=2,y(0)=1 and 3y(1)=2x(1) ,the value of "t" ,for which, [x(t)=y(t) ,is :