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Consider the differential equation x³y" +8x²y" +9xy'-9y=0. Verify that the given solution functions x, x,x In x form a fundamental set of solutions of the differential equation on the interval (0,00). Please Turn Over

Consider the differential equation x³y" +8x²y" +9xy'-9y=0. Verify that the given solution functions x, x,x In x form a fundamental set of solutions of the differential equation on the interval (0,00). Please Turn Over

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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5. Consider the differential equation \( x^3y''' + 8x^2y'' + 9xy' - 9y = 0 \). Verify that the given solution functions \( x, x^{-3}, x^{-3} \ln x \) form a fundamental set of solutions of the differential equation on the interval \( (0, \infty) \). *Please Turn Over*
Transcribed Image Text:5. Consider the differential equation \( x^3y''' + 8x^2y'' + 9xy' - 9y = 0 \). Verify that the given solution functions \( x, x^{-3}, x^{-3} \ln x \) form a fundamental set of solutions of the differential equation on the interval \( (0, \infty) \). *Please Turn Over*
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