A First Course in Differential Equations with Modeling Applications (MindTap Course List)

11th Edition

ISBN: 9781305965720

Author: Dennis G. Zill

Publisher: Cengage Learning

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Textbook Question

Chapter 4.3, Problem 53E

In Problems 49–58 find a homogeneous linear differential equation with constant coefficients whose general solution is given.

53. y = c₁ cos 3x + c₂ sin 3x

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Chapter 4.3, Problem 52E

Chapter 4.3, Problem 54E

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Chapter 4 Solutions

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - Given that y=c1+c2x2 is a two-parameter family of...Ch. 4.1 - Find two members of the family of solutions in...Ch. 4.1 - Given that x(t) = c1 cos t + c2 sin t is the...Ch. 4.1 - Use the general solution of x + 2x = 0 given in...Ch. 4.1 - In Problems 9 and 10 find an interval centered...Ch. 4.1 - In Problems 9 and 10 find an interval centered...

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In Problems 49–58 find a homogeneous linear differential equation with constant coefficients whose general solution is given. 53. y = c 1 cos 3 x + c 2 sin 3 x

Solution Summary: The author explains the procedure used to find a homogeneous linear differential equation with constant coefficients whose general solution is provided.

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