1.8 Write two differential equations that describe the behavior of the circuit of Example 1.2, using vL(t) and vc(t) as the state variables.

Example 1.2,1.2 Figure P1.2 shows a model co=only used for automobile suspension analysis. In it, the uneven ground specifies the position of the wheel's contact point The wheel itself is not shown, as its mass is considered negligible compared to the mass of the rest of the car. Write a differential equation and a state variable description for this system, considering the height of the car, x(t), to be the output, and the road height, y(t), to be the input.

y=0 M x(t) B K y(t)