In finding analytic solutions of forced des the ICs must alw

In finding analytic solutions of forced d.e.\'s the I.C.\'s must always be evaluated after the expressions for the transient and steady state solutions have been combined. True False The frequency at which a sinusoidal forcing function causes the steady-state amplitude oscillations of a mass-spring-damper system to be maximum is the natural frequency when the damping ratio eta = 0. True False A method of finding the homogeneous solution of a differential equation is to use the method of undetermined coefficients. True False All rigid bodies have a frisbee, rocket, and stunt axis. True False The name Euler is pronounced \"Yuler.\" True False

Solution

1. True.

The initial conditions are applicable to the full solution. So it should be applied only when both the parts (steady state and transient) are added.

2. True.

When there is no damping, at natural frequency, resonsnace occurs and the system vibrates with infinite amplitude.

3. False.

The Method of Undetermined Coefficients is a systematic way to determine the general form of the particular solution based on the nonhomogeneous term in the given equation.

4. True.

5. False

It\'s a German name so it\'s pronounced \"oiler\".