Use the substitution y=x to find a general solution to the given equation for x > 0. x³y'(x) + 3x²y''(x) - 6xy'(x) - 36y(x) =0 y(x) = (Type an exact answer, using radicals as needed.) ...
Use the substitution y=x to find a general solution to the given equation for x > 0. x³y'(x) + 3x²y''(x) - 6xy'(x) - 36y(x) =0 y(x) = (Type an exact answer, using radicals as needed.) ...
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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Transcribed Image Text:Use the substitution y=x to find a general solution to the given equation for x > 0.
x³y'(x) + 3x²y''(x) - 6xy'(x) - 36y(x) =0
y(x) =
(Type an exact answer, using radicals as needed.)
...
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