Determine intervals in which the solutions of t(t-1)y(4) + e¹y" + 4t²y = 0

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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Higher order
a) Determine intervals in which the solutions of t(t-1)y(4) + ey" + 4t²y = 0
are sure to exist
b) Verify that the given functions x, x² and 1/x are soltuions of the differential
equation x³y" + x²y" - 2xy + 2y = 0. And, determine their Wronskian.
Transcribed Image Text:Higher order a) Determine intervals in which the solutions of t(t-1)y(4) + ey" + 4t²y = 0 are sure to exist b) Verify that the given functions x, x² and 1/x are soltuions of the differential equation x³y" + x²y" - 2xy + 2y = 0. And, determine their Wronskian.
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