Chapter 17.R, Problem 19E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

A Series circuit contains a resistor with
*t*.

To determine

**To find:**

The charge at time

Explanation

**1) Concept:**

i. The general second order differential equation for

ii. The general solution of nonhomogeneous differential equation is

where

Find

**2) General solution of **

Roots of |
General solution |

**3) Method of undetermined coefficient:**

It is reasonable to guess that there is a particular solution

**4) Calculations:**

We are given the circuit consist of resistor with

Let

The general second order differential equation for

By using the given information the differential equation for given

Given that the initial charge is

Therefore, the given initial value problem is

To find the charge means to find the solution of given initial value problem

Sect-17.1 P-1ESect-17.1 P-2ESect-17.1 P-3ESect-17.1 P-4ESect-17.1 P-5ESect-17.1 P-6ESect-17.1 P-7ESect-17.1 P-8ESect-17.1 P-9ESect-17.1 P-10E

Sect-17.1 P-11ESect-17.1 P-12ESect-17.1 P-13ESect-17.1 P-14ESect-17.1 P-15ESect-17.1 P-16ESect-17.1 P-17ESect-17.1 P-18ESect-17.1 P-19ESect-17.1 P-20ESect-17.1 P-21ESect-17.1 P-22ESect-17.1 P-23ESect-17.1 P-24ESect-17.1 P-25ESect-17.1 P-26ESect-17.1 P-27ESect-17.1 P-28ESect-17.1 P-29ESect-17.1 P-30ESect-17.1 P-31ESect-17.1 P-32ESect-17.1 P-33ESect-17.1 P-34ESect-17.1 P-35ESect-17.2 P-1ESect-17.2 P-2ESect-17.2 P-3ESect-17.2 P-4ESect-17.2 P-5ESect-17.2 P-6ESect-17.2 P-7ESect-17.2 P-8ESect-17.2 P-9ESect-17.2 P-10ESect-17.2 P-11ESect-17.2 P-12ESect-17.2 P-13ESect-17.2 P-14ESect-17.2 P-15ESect-17.2 P-16ESect-17.2 P-17ESect-17.2 P-18ESect-17.2 P-19ESect-17.2 P-20ESect-17.2 P-21ESect-17.2 P-22ESect-17.2 P-23ESect-17.2 P-24ESect-17.2 P-25ESect-17.2 P-26ESect-17.2 P-27ESect-17.2 P-28ESect-17.3 P-1ESect-17.3 P-2ESect-17.3 P-3ESect-17.3 P-4ESect-17.3 P-5ESect-17.3 P-6ESect-17.3 P-7ESect-17.3 P-8ESect-17.3 P-9ESect-17.3 P-10ESect-17.3 P-11ESect-17.3 P-12ESect-17.3 P-13ESect-17.3 P-14ESect-17.3 P-15ESect-17.3 P-16ESect-17.3 P-17ESect-17.3 P-18ESect-17.4 P-1ESect-17.4 P-2ESect-17.4 P-3ESect-17.4 P-4ESect-17.4 P-5ESect-17.4 P-6ESect-17.4 P-7ESect-17.4 P-8ESect-17.4 P-9ESect-17.4 P-10ESect-17.4 P-11ESect-17.4 P-12ESect-17.R P-1CCSect-17.R P-2CCSect-17.R P-3CCSect-17.R P-4CCSect-17.R P-5CCSect-17.R P-1TFQSect-17.R P-2TFQSect-17.R P-3TFQSect-17.R P-4TFQSect-17.R P-1ESect-17.R P-2ESect-17.R P-3ESect-17.R P-4ESect-17.R P-5ESect-17.R P-6ESect-17.R P-7ESect-17.R P-8ESect-17.R P-9ESect-17.R P-10ESect-17.R P-11ESect-17.R P-12ESect-17.R P-13ESect-17.R P-14ESect-17.R P-15ESect-17.R P-16ESect-17.R P-17ESect-17.R P-18ESect-17.R P-19ESect-17.R P-20ESect-17.R P-21E

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