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Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) = E0e^-kt, R = 405, C = 0.005 f, and k = 1/RC. The differential equation is the following: dq 1 dt q=E₂e-kt + C

Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) = E0e^-kt, R = 405, C = 0.005 f, and k = 1/RC. The differential equation is the following: dq 1 dt q=E₂e-kt + C

Calculus For The Life Sciences
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
Section11.3: Euler's Method
Problem 15E: Use Eulers method to approximate the indicated function value to 3 decimal places, using h=0.1....
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Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) = E0e^-kt, R = 400, C = 0.005 f, and k = 1/RC. The differential equation is the following: dq 1 R += q = q = E₂e-kt dt C
Transcribed Image Text:Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) = E0e^-kt, R = 400, C = 0.005 f, and k = 1/RC. The differential equation is the following: dq 1 R += q = q = E₂e-kt dt C
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