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

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett 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

To determine

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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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