Let x²y" + 4xy' - 4y = 0 be an ordinary differential equation. Knowing that y, (x) = x is a solution of the given ODE. Using the reduction of order method the second solution is: y₂(x) = x4 ln x This Option None of the Choices Y₂(x) = This Option ** 5 Y₂(x) = - x10 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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%A1₁.
Let x2y + 4xy' - 4y = 0 be an ordinary differential equation..
Knowing that y(x) = x is a solution of the given ODE. Using the reduction of
order method the second solution is:
y₂(x) = x4 ln x
This Option
None of the Choices.
Y₂(x) =
This Option
Y₂(x) =
|||
-
5
x10
4
- 6:31
>
Transcribed Image Text:! %A1₁. Let x2y + 4xy' - 4y = 0 be an ordinary differential equation.. Knowing that y(x) = x is a solution of the given ODE. Using the reduction of order method the second solution is: y₂(x) = x4 ln x This Option None of the Choices. Y₂(x) = This Option Y₂(x) = ||| - 5 x10 4 - 6:31 >
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