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B.2.a. xy" - 2y + y = 0 x Y₁ = x4

B.2.a. xy" - 2y + y = 0 x Y₁ = x4

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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Each of the ODEs shown below is second order in y, with y₁ as a solution. Reduce the ODE from being second order in y to being first order in w, with w being the only response variable appearing in the ODE. Combine like terms. Show your work. 21 B.2.a. xy" - 2y + y = 0 B.2.b. y" +9y = 0 B.2.c. x²y" + ²y = 0 Y₁ = x4 Y₁ = sin(3t) Y₁ = x²/3
Transcribed Image Text:Each of the ODEs shown below is second order in y, with y₁ as a solution. Reduce the ODE from being second order in y to being first order in w, with w being the only response variable appearing in the ODE. Combine like terms. Show your work. 21 B.2.a. xy" - 2y + y = 0 B.2.b. y" +9y = 0 B.2.c. x²y" + ²y = 0 Y₁ = x4 Y₁ = sin(3t) Y₁ = x²/3
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