Find the angular frequency of particle from given equation Where y= displacement and t = time `(4d^(2)y)/(dt^(2))+9y=0`

If y is displacement and t is time, unit of (d^(2)y)/(dt^(2)) will be

y=Asin omegat where A and omega are constants. Find (d^(2)y)/(dt^(2)) .

Find the roots of given equation 2y ^2−y−1=0

For a particle performing SHM , equation of motion is given as (d^(2))/(dt^(2)) + 9x = 0 . Find the time period

If y=sin(t^2) , then (d^2y)/(dt^2) will be

Velocity-time equation of a particle moving in a straight line is, v=(10+2t+3t^2) (SI units) Find (a) displacement of particle from the mean position at time t=1s, if it is given that displacement is 20m at time t=0 . (b) acceleration-time equation.

Verify that y=4sin3x is a solution of the differential equation (d^2y)/(dx^2)+9y=0.

Verify that y=4sin3x is a solution of the differential equation (d^2y)/(dx^2)+9y=0.

For a particle performing SHM , equation of motion is given as (d^(2))/(dt^(2)) + 4x = 0 . Find the time period

Find beat frequency if the motion of two particles is given by y_1 = 0.25sin(310 t) y_2 =0.25 sin (316t)