R interruptor PS Eo
Explain the solutions of the model that I will give below and do the following: a) changes in the initial conditions; b) changes in the input function.
Heart pacemaker Figure 3.1.12 shows a heart pacemaker, which consists of a switch, a battery, a capacitor, and the heart as a resistor. When the switch S is at P, the capacitor charges; when S is at Q, the capacitor discharges, sending electrical stimuli to the heart. In Problem 47 of Exercises 2.3 we saw that during this time when electrical stimuli are being applied to the heart, the voltage E across the heart satisfies the linear ED
a) Suppose that in the time interval of duration the switch S is in position P as shown in figure 3.1.12 and the capacitor is charging. When the switch is moved to the Q position at time the capacitor discharges, sending an impulse to the heart during the time interval of duration ≤ t <. So the initial interval of charge discharges 0 < t < t1 + t2 the voltage in the heart is actually modeled by the differential equation defined by sections.
As S moves between P and Q, the load intervals and download durations t1 and t2 are repeated indefinitely-mind. Suppose
b) Suppose to illustrate that R= C =1. Use a graphing program to graph the solution of the IVP from part (a) for 0 ≤ t ≤ 24
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