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QUESTION 5 (Finding the Second Sol. Using the Variation of Parameters): One solution of the differential equation y“ +4y = 0 is y = cos 2x. A second linearly independent solution is (Select the correct answer). O a. y = cos 2x y= ; sin 2x O c. y = x cos x O d. y= e* O e. y= e"

QUESTION 5 (Finding the Second Sol. Using the Variation of Parameters): One solution of the differential equation y“ +4y = 0 is y = cos 2x. A second linearly independent solution is (Select the correct answer). O a. y = cos 2x y= ; sin 2x O c. y = x cos x O d. y= e* O e. y= e"

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question 5** (Finding the Second Solution Using the Variation of Parameters): One solution of the differential equation \( y'' + 4y = 0 \) is \( y = \cos 2x \). A second linearly independent solution is (Select the correct answer). - a. \( y = \cos 2x \) - b. \( y = \frac{1}{2} \sin 2x \) - c. \( y = x \cos x \) - d. \( y = e^{-x} \) - e. \( y = e^{x} \)
Transcribed Image Text:**Question 5** (Finding the Second Solution Using the Variation of Parameters): One solution of the differential equation \( y'' + 4y = 0 \) is \( y = \cos 2x \). A second linearly independent solution is (Select the correct answer). - a. \( y = \cos 2x \) - b. \( y = \frac{1}{2} \sin 2x \) - c. \( y = x \cos x \) - d. \( y = e^{-x} \) - e. \( y = e^{x} \)
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