(6) For the nonhomogeneous equation (**) x²y" - 3xy' + 4y = x² a solutions to the homogeneous part is y₁ = x² x²y" − 3xy' + 4y = 0 (a) use method of reduction of order to find the linear independent solution y2 (b) use the two linear independent solutions and variation of parameters to find a particular solution to the nonhomogeneous equation (**).
(6) For the nonhomogeneous equation (**) x²y" - 3xy' + 4y = x² a solutions to the homogeneous part is y₁ = x² x²y" − 3xy' + 4y = 0 (a) use method of reduction of order to find the linear independent solution y2 (b) use the two linear independent solutions and variation of parameters to find a particular solution to the nonhomogeneous equation (**).
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
P6

Transcribed Image Text:(6) For the nonhomogeneous equation
(**)
x²y" - 3xy' + 4y = x²4
a solutions to the homogeneous part is y₁ = x²
x²y" - 3xy' + 4y = 0
(a) use method of reduction of order to find the linear independent solution y2
(b) use the two linear independent solutions and variation of parameters to find a particular solution to
the nonhomogeneous equation (**).
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