Explanation Calculation: The solution of the differential equation described in example ( 3 ) is given as, y ( x ) = 2 x + 3 ( 1 + e 6 x ) ( 1 − e 6 x ) Rewrite the above equation as, y ( x ) = 2 x + 3 ( e − 6 x + 1 ) ( e − 6 x − 1 ) As x → ∞ , e − 6 x → 0 . Thus, y ( x ) → lim x → ∞ ( 2 x + 3 ( e − 6 x + 1 ) ( e

Differential Equations with Boundary-Value Problems (MindTap Course List)

9th Edition

ISBN: 9781305965799

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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Chapter 2.5, Problem 34E

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The equations of the curves which are asymptotic to y(x) as x→−∞ and to a different curve as x→∞.

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Chapter 2.5, Problem 33E

Chapter 2.5, Problem 35E

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Chapter 2 Solutions

Differential Equations with Boundary-Value Problems (MindTap Course List)

Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - dydx=1xy (a) y(0) = 0 (b) y(1) = 0 (c) y(2) = 2...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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The equations of the curves which are asymptotic to y ( x ) as x → − ∞ and to a different curve as x → ∞ .

Solution Summary: The author explains the equations of the curves which are asymptotic to y(x)to 2x+3 and to a different curve.

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The equations of the curves which are asymptotic to y(x) as x→−∞ and to a different curve as x→∞.

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Chapter 2 Solutions