A heart pacemaker consists of a switch, a battery of constant voltage Eo, a capacitor with constant capacitance C = 1, and the heart as a resistor with constant resistance R = 1. 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 1 E. RC %3D dt a. Solve the DE, subject to E(4) = Eo = 12. %3D Show work. Do your work neatly using paper and pencil. your Show and explain all the steps to arrive at the answer. Write complete sentences when explaining your work. A short essay or short story style is acceptable. State the prerequisite Math skills you used and explain why you used them in your solution.

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