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If y1 = ei and y2 = xei form a fundamental set of solutions of a differential equation 4y" – 4y' + y = 0 on the interval (-00, 00). By calculating the Wronskian, the functions are linearly independent. Identify whether the statement is true or false. Select one: True False

If y1 = ei and y2 = xei form a fundamental set of solutions of a differential equation 4y" – 4y' + y = 0 on the interval (-00, 00). By calculating the Wronskian, the functions are linearly independent. Identify whether the statement is true or false. Select one: True False

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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differential equation

If y1 = ei and Y2 = xei form a fundamental set of solutions of a differential equation 4y" – 4y' + y = 0 on the interval (-00, 00). By calculating the Wronskian, the functions are linearly independent. Identify whether the statement is true or false. Select one: True False
Transcribed Image Text:If y1 = ei and Y2 = xei form a fundamental set of solutions of a differential equation 4y" – 4y' + y = 0 on the interval (-00, 00). By calculating the Wronskian, the functions are linearly independent. Identify whether the statement is true or false. Select one: True False
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