Problem

Heart Pacemaker A heart pacemaker consists of a switch, a battery of constant voltag...

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

Solve the DE, subject to E(4) = E0.

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