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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16, Problem 55RE

Textbook Problem

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**Electrical Circuit** The differential equation

models the charge *q* on a capacitor of an electrical circuit. Find The charge *q* as a function of time *t*. Assume that

To determine

**To calculate:** The charge *q* as a function of time *t* for the electrical circuit describedfor the differential equation is

**Given information:**

The given differential equation is

**Concept Used:**

If

**Calculation:**

Consider the given differential equation is

The characteristics equation is

First, we have to find the solution of the characteristics equation

Therefore,

Let

Substituting in the original equation yields

Equating the coefficient of like terms yields

So,

Therefore,

Multivariable Calculus

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