A heart pacemaker consists of a switch, a battery of constant voltage Eo, a capacitor with constant capacitance C 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 1, and the heart as a resistor with constant resistance R = 1. When the dE 1 E. RC dt a. Solve the DE, subject to E(4) = Eo = 12. %3D %3D Shour vour work Do your work neatly using paper and pencil.

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