Consider the differential equation x3y''' + 12x2y'' + 25xy' - 25y = 0; x, x-5, x-5ln(x), (0, infinity) Find Wronskian W(x, x-5, x-5ln(x)) not = 0 for 0 < x < infinity
Consider the differential equation x3y''' + 12x2y'' + 25xy' - 25y = 0; x, x-5, x-5ln(x), (0, infinity) Find Wronskian W(x, x-5, x-5ln(x)) not = 0 for 0 < x < infinity
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the differential equation
x3y''' + 12x2y'' + 25xy' - 25y = 0; x, x-5, x-5ln(x), (0, infinity)
Find Wronskian W(x, x-5, x-5ln(x)) not = 0 for 0 < x < infinity
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