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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 61CR
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Intro to Diff. Eqn
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.
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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