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Consider the DE: (1-x²) d²y dx² - 7 ln x dy dx + (cos x)y = log₂ x4 a) Is this DE linear? b) If it is linear, is it homogeneous?

Consider the DE: (1-x²) d²y dx² - 7 ln x dy dx + (cos x)y = log₂ x4 a) Is this DE linear? b) If it is linear, is it homogeneous?

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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Consider the DE: (1-x²) d²y dx² dy dx 7 ln x· + (cos x)y = log₂ x4 a) Is this DE linear? b) If it is linear, is it homogeneous?
Transcribed Image Text:Consider the DE: (1-x²) d²y dx² dy dx 7 ln x· + (cos x)y = log₂ x4 a) Is this DE linear? b) If it is linear, is it homogeneous?
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