Consider the following ODE that describes the time dependence of the electric charge, g(t), on a capacitor (with capacitance C) in simple circuit driven by constant voltage V. dq dt +3q=V/C a. Solve the Initial Value Problem: g(0)=0 when V/C=5. Sketch a graph of the solution g(t) versus t. b. Solve the Initial Value Problem: q(0)=5 when V/C=0. Sketch a graph of the solution g(t) versus t.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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PLEASE SLOVE STEP BY STEP
(3) Consider the following ODE that describes the time dependence of the electric charge, g(t), on
a capacitor (with capacitance C) in simple circuit driven by constant voltage V.
dq
dt
+3q=V/C
a. Solve the Initial Value Problem: q(0)=0 when V/C=5. Sketch a graph of the solution
g(t) versus t.
b. Solve the Initial Value Problem: q(0) = 5 when V/C=0. Sketch a graph of the solution
g(t) versus t.
Transcribed Image Text:PLEASE SLOVE STEP BY STEP (3) Consider the following ODE that describes the time dependence of the electric charge, g(t), on a capacitor (with capacitance C) in simple circuit driven by constant voltage V. dq dt +3q=V/C a. Solve the Initial Value Problem: q(0)=0 when V/C=5. Sketch a graph of the solution g(t) versus t. b. Solve the Initial Value Problem: q(0) = 5 when V/C=0. Sketch a graph of the solution g(t) versus t.
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