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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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
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. When the
dE
dt
E.
RC
a. Solve the DE, subject to E(4) = Eo = 12.
%3D
• Show your work. Do your work neatly using paper and pencil.
• 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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