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The function y, (x) = e is a solution of the differential equation 6y" + y = y. Use reduction c order to find a second solution y2 (x). O y2 (x) = e O y2 (x) = C O y2 (x) = xe O y2 (x) = xe

The function y, (x) = e is a solution of the differential equation 6y" + y = y. Use reduction c order to find a second solution y2 (x). O y2 (x) = e O y2 (x) = C O y2 (x) = xe O y2 (x) = xe

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 function \( y_1(x) = e^{\frac{x}{3}} \) is a solution of the differential equation \( 6y'' + y' = y \). Use reduction of order to find a second solution \( y_2(x) \). - \( y_2(x) = e^{-\frac{x}{2}} \) - \( y_2(x) = C \) - \( y_2(x) = xe^{\frac{x}{3}} \) - \( y_2(x) = xe^{\frac{3}{x}} \)
Transcribed Image Text:The function \( y_1(x) = e^{\frac{x}{3}} \) is a solution of the differential equation \( 6y'' + y' = y \). Use reduction of order to find a second solution \( y_2(x) \). - \( y_2(x) = e^{-\frac{x}{2}} \) - \( y_2(x) = C \) - \( y_2(x) = xe^{\frac{x}{3}} \) - \( y_2(x) = xe^{\frac{3}{x}} \)
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