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The differential equation y" + 4y + 4y 0 has two solutions yı = e2x and y2 = Which of the followings is a solution to + 4y + 4y " 0? Select one: O y = -e-2x - 2xe-2x O y = (1 - 2x)e-2x -2x O y = 2(x - 2)e- O y = (2 – x²) e-2x O None of these

The differential equation y" + 4y + 4y 0 has two solutions yı = e2x and y2 = Which of the followings is a solution to + 4y + 4y " 0? Select one: O y = -e-2x - 2xe-2x O y = (1 - 2x)e-2x -2x O y = 2(x - 2)e- O y = (2 – x²) e-2x O None of these

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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The differential equation y" + 4y + 4y 0 has two solutions y = e2x and y2 xe-2x %3D Which of the followings is a solution to y" + 4y + 4y = 0? Select one: O y = -e-2x - 2xe-2x O y = (1 – 2x)e-2x O y = 2(x - 2)e-2x O y = (2 – x²) e-2x None of these Given two solutions y cos 3x and y2 = sin 3x for the homogeneous linear equation y" + 9y = 0, which of the following is the Wronskian of yi and y2 ? Select one: cos 3x sin 3x W(y1, y2) = -3 sin 3x 3 cos 3x sin 3x cos 3x W(y1, y2) = -3 cos 3x 3 sin 3x cos 3x sin 3x W(y1. y2) = 3 sin 3x -3 cos 3x None of these sin 3x cos 3x W(y1, y2) = 3 cos 3x -3 sin 3x
Transcribed Image Text:The differential equation y" + 4y + 4y 0 has two solutions y = e2x and y2 xe-2x %3D Which of the followings is a solution to y" + 4y + 4y = 0? Select one: O y = -e-2x - 2xe-2x O y = (1 – 2x)e-2x O y = 2(x - 2)e-2x O y = (2 – x²) e-2x None of these Given two solutions y cos 3x and y2 = sin 3x for the homogeneous linear equation y" + 9y = 0, which of the following is the Wronskian of yi and y2 ? Select one: cos 3x sin 3x W(y1, y2) = -3 sin 3x 3 cos 3x sin 3x cos 3x W(y1, y2) = -3 cos 3x 3 sin 3x cos 3x sin 3x W(y1. y2) = 3 sin 3x -3 cos 3x None of these sin 3x cos 3x W(y1, y2) = 3 cos 3x -3 sin 3x
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