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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.1, Problem 52E

Textbook Problem

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EXPLORING CONCEPTS

Exact Differential Equation In Exercises 51 and 52, find all values of k such that the differential equation is exact.

To determine

**To calculate:** The value of *k* such that the differential equation

**Given information:** The differential equation

**Formula used:** Let *M* and *N* have continuous partial derivatives on an open disk R. The differential equation

**Calculation:**

Compare the differential equation

Multivariable Calculus

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The figure shows the particular...Ch. 16.3 - Motion of a SpringRefer to the differential...Ch. 16.3 - Solving a Differential Equation Solve the...Ch. 16.3 - True or False? In Exercises 39 and 40, determine...Ch. 16.3 - True or False? In Exercises 39 and 40, determine...Ch. 16.3 - PUTNAM EXAM CHALLENGE For all real x, the...Ch. 16.4 - CONCEPT CHECK Power Series Solution Method...Ch. 16.4 - CONCEPT CHECK Recursion Formula What is a...Ch. 16.4 - Power Series Solution In Exercises 3-6, use a...Ch. 16.4 - Power Series Solution In Exercises 3-6, use a...Ch. 16.4 - Power Series Solution In Exercises 3-6, use a...Ch. 16.4 - Power Series Solution In Exercises 3-6, use a...Ch. 16.4 - Finding Terms of a Power Series SolutionIn...Ch. 16.4 - Finding Terms of a Power Series SolutionIn...Ch. 16.4 - Approximation by Taylor Series In Exercises 9-14,...Ch. 16.4 - Approximation by Taylor Series In Exercises 9-14,...Ch. 16.4 - Approximation by Taylor Series In Exercises 9-14,...Ch. 16.4 - Approximation by Taylor Series In Exercises 9-14,...Ch. 16.4 - Approximation by Taylor Series In Exercises 9-14,...Ch. 16.4 - Approximation by Taylor Series In Exercises 9-14,...Ch. 16.4 - EXPLORING CONCEPTS Using Different MethodsIn...Ch. 16.4 - EXPLORING CONCEPTS Using Different MethodsIn...Ch. 16.4 - EXPLORING CONCEPTS Using Different MethodsIn...Ch. 16.4 - EXPLORING CONCEPTS Using Different MethodsIn...Ch. 16.4 - Investigation Consider the differential equation...Ch. 16.4 - HOW DO YOU SEE IT? 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Finding an Integrating Factor In Exercises 13-16,...Ch. 16 - Finding an Integrating Factor In Exercises 13-16,...Ch. 16 - Finding an Integrating Factor In Exercises 13-16,...Ch. 16 - Finding an Integrating Factor In Exercises 13-16,...Ch. 16 - Verifying a Solution In Exercises 17-18, verify...Ch. 16 - Verifying a Solution In Exercises 17 and 18,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a General Solution In exercises 19-28,...Ch. 16 - Finding a Particular Solution: Initial Conditions...Ch. 16 - 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