Question: Heart Pacemaker A heart pacemaker consists of a switch, a battery of constant voltage E 0 , a capacitor with constant capacitance C, and the

Heart Pacemaker A heart pacemaker consists of a switch, a battery of constant voltage E₀, a capacitor with constant capacitance C, and the heart as a resistor with constant resistance R. When the switch is closed, the capacitor charges; when the switch is open, the capacitor discharges, sending an electrical stimulus to the heart. During the time the heart is being stimulated, the voltage E across the heart satisfies the linear differential equation

dE/dt = -(1/RC) E.

Solve the DE, subject to E(4) = E₀.

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