Find (if possible) the two linearly independent solution series for the equation: xy" − y' + 4x³y = 0 Check that the general solution found is equivalent to y = C₁ cos(x²) + C₂ sin(x²)
Find (if possible) the two linearly independent solution series for the equation: xy" − y' + 4x³y = 0 Check that the general solution found is equivalent to y = C₁ cos(x²) + C₂ sin(x²)
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:Find (if possible) the two linearly independent
solution series for the
equation:
xy" — y' + 4x³y = 0
Check that the general solution found is
equivalent to
y = C₁ cos(x²) + C₂ sin(x²)
C1
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