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# 9–16 decide whether the method of undetermined | Ch 4.5 - 14E ISBN: 9780321747730 43

## Solution for problem 14E Chapter 4.5

Fundamentals of Differential Equations | 8th Edition

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Problem 14E

In 9–16 decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution of the given equation. Do not solve the equation.

Step-by-Step Solution:

Solution:Step 1:Strategy for undetermined coefficients is utilized for finding an answer for a nonhomogeneous straight condition with steady coefficients and the term on right-hand side ought not to have the negative power of t.Step 2:So fundamentally we can utilize the strategy for undetermined coefficients for any of the frame:ayn + byn-1 + …….+cy = Ctmert.Where m 0Or ayn + byn-1 + …….+cy = Ctmert sin.Where mOr ayn + byn-1 + …….+cy = Ctmert cos.Where m.Step 3:Also, we can simply solve condition utilizing superposition guideline on the off chance that we can comprehend singular utilizing technique for undetermined components.

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##### ISBN: 9780321747730

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