The equation that describes the accumulation of charge, denoted as q(t), on the capacitor within an RC circuit is given as: Rdq 1 + dt 29 = "0 where vo is the constant d.c. voltage. The circuit is 'closed' at t = 0, so q(0) = 0 at t = 0. Use the Laplace transform method to solve the differential equation for q(t).

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 8CR
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The equation that describes the accumulation of charge, denoted as q(t), on
the capacitor within an RC circuit is given as:
dq 1
R + 79= Vo
dt
where vo is the constant d.c. voltage. The circuit is 'closed' at t = 0, so q(0) = 0 at t = 0.
Use the Laplace transform method to solve the differential equation for q(t).
Transcribed Image Text:The equation that describes the accumulation of charge, denoted as q(t), on the capacitor within an RC circuit is given as: dq 1 R + 79= Vo dt where vo is the constant d.c. voltage. The circuit is 'closed' at t = 0, so q(0) = 0 at t = 0. Use the Laplace transform method to solve the differential equation for q(t).
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