Answered: Ra0+Q = E(t). dt

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Ra0+Q = E(t). dt

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 18E

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Question

The RC - circuit dynamics is described by the equation (picture) where R = resister, Q = charge, C = capacitor, E = electromotive force and time. Solve the differential equation for Q over the interval [0, 1] if R = 10,C = 0.1, E = 30e^3t and Q (0) = 0 using fourth- order Runge-Kutta method with a step size of h = 0.5.