Question

For each of the ODEs in the 1st column, indicate whether it is: 1. linear time-invariant (LTI), linear time-varying (LTV), or nonlinear 2. 1st order, 2nd order, or higher order 3.

homogeneous or inhomogeneous by marking the appropriate column. The unknown function x(t) represents the state of some mechanical system and t represents time. Hint: An ODE is considered nonlinear only if the nonlinearity involves the unknown function x(t).

Fig: 1