Explanation Calculation: Consider the given differential equation. z ' ' − 6 z ' + 10 z = 0 The auxiliary equation can be written as follows, r 2 − 10 r + 26 = 0 The roots of the above equation can be calculated as follows, r = − b ± b 2 − 4 a c 2 a = 10 ± ( − 10 ) 2 − 4 ( 1 ) ( 26 ) 2 = 10 ± 100 − 104 2 = 5 ± i The roots of auxiliary equations are imaginary

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ISBN: 9780321977175

Author: Nagle

Publisher: PEARSON CO

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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 4.3, Problem 4E

To determine

To find:

The general solution of the differential equation y''−10y'+26y=0.

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Chapter 4.3, Problem 3E

Chapter 4.3, Problem 5E

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EBK FUND.OF DIFF.EQUATIONS+BOUNDARY...

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