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Consider the nonhomogeneous differential equation: -2y+ y = - (E). Given that 3=e" and y₁=xe are two linearly independent solutions of (E). Using variation of parameters, we find that: U₁ = -√x√x and U₂ = 2√x This Option None of these u₁ = x and u₂ == This Option u₁ = -lnx and u₂ = This Option J|X

Consider the nonhomogeneous differential equation: -2y+ y = - (E). Given that 3=e" and y₁=xe are two linearly independent solutions of (E). Using variation of parameters, we find that: U₁ = -√x√x and U₂ = 2√x This Option None of these u₁ = x and u₂ == This Option u₁ = -lnx and u₂ = This Option J|X

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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Consider the nonhomogeneous differential equation: -2y+ -23¹+ y = (E). Given that 3=e" and y, xe are two linearly independent solutions of (E). Using variation of parameters, we find that: x√x and u₂ = 2√x This Option None of these U₁ = x and u₂ This Option u₁ = -lnx and u₂ This Option -1
Transcribed Image Text:Consider the nonhomogeneous differential equation: -2y+ -23¹+ y = (E). Given that 3=e" and y, xe are two linearly independent solutions of (E). Using variation of parameters, we find that: x√x and u₂ = 2√x This Option None of these U₁ = x and u₂ This Option u₁ = -lnx and u₂ This Option -1
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