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the ODE find Given that {x, x¹, x²} is a fundamental set of solutions to x³y"" + x²y" - 2xy' + 2y = x³ sinx, x > 0,

the ODE find Given that {x, x¹, x²} is a fundamental set of solutions to x³y"" + x²y" - 2xy' + 2y = x³ sinx, x > 0,

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 ODE find Given that {x, x-¹, x²} is a fundamental set of solutions to x³y"" + x²y" - 2xy + 2y = x³ sin .x, a. The Wronskian W[x, x-¹, x²] (x). b. A particular solution of the ODE. x > 0,
Transcribed Image Text:the ODE find Given that {x, x-¹, x²} is a fundamental set of solutions to x³y"" + x²y" - 2xy + 2y = x³ sin .x, a. The Wronskian W[x, x-¹, x²] (x). b. A particular solution of the ODE. x > 0,
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