8. Consider the homogeneous equation with nonconstant coe cients 1 y + y + y=0 for x > 0. 1 x² X (a) Find two linearly independent (real-valued) solutions y₁, y2. (Hint: rst try y=x".)
8. Consider the homogeneous equation with nonconstant coe cients 1 y + y + y=0 for x > 0. 1 x² X (a) Find two linearly independent (real-valued) solutions y₁, y2. (Hint: rst try y=x".)
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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Question
the equation should be
y'' +1/x y' - 1/x^2 y = 0
(the second sign is minus, not plus)
Please solve a!
Transcribed Image Text:8. Consider the homogeneous equation with nonconstant coe cients
1
1
y + y + y = 0 for x > 0.
X
(a) Find two linearly independent (real-valued) solutions y₁, 92. (Hint: rst try
y = xr.)
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