Suppose an RC-series circuit has a variable resistor. If the resistance at time t is defined by
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Suppose an RC-series circuit has a variable resistor. If the resistance at time t is defined by R(t) = k1 + k2t, where k1 and k2 are known positive constants, then the differential equation in (9) of Section 3.1 becomes
(k1 + k2t) dq/dt + 1/C q = E(t),
where C is a constant. If E(t) = E0 and q(0) = q0, where E0 and q0 are constants, then show that
q(t) = E0C + (q0 - E0C) [k1/(k1 + k2t)]1/Ck2.
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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