Answer to Question #323574 in Differential Equations for Xyz

Differential Equations

Question #323574

Suppose an RC series circuit has a variable resistor. If the resistance at time t is given by R k1 - k2t, where k1 and k2 are known positive constants, then (9) becomes (k1 - k2t) dq dt - 1 Cq E(t).If E(t) E0 and q(0) q0, where E0 and q0 are constants, show that q(t) E0C - (q0 E0C)- k1 k1 - k2t 1/Ck

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