You are given the following differential equation: x (1 – x) y" (x) – 3 x y' (x) - y (x) = 0. — у (х) %3D 0. | If you know that the differential equation has an independent solution, У1 (х) (1-х)? choose the right answer for the second independent solution 2(x). Inj y2 (x) = xy, (x) + (1-x) y2 (x) = In[x| yı (x) + (1-x) Injx| y2 (x) = y1 (x) + (1–x)² y2 (x) = In]x| y1 (x) + (1-x) %3D
You are given the following differential equation: x (1 – x) y" (x) – 3 x y' (x) - y (x) = 0. — у (х) %3D 0. | If you know that the differential equation has an independent solution, У1 (х) (1-х)? choose the right answer for the second independent solution 2(x). Inj y2 (x) = xy, (x) + (1-x) y2 (x) = In[x| yı (x) + (1-x) Injx| y2 (x) = y1 (x) + (1–x)² y2 (x) = In]x| y1 (x) + (1-x) %3D
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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![You are given the following differential equation:
x (1 – x) y" (x) – 3 x y' (x) - y (x) = 0.
— у (х) %3D 0.
|
If you know that the differential equation has an
independent solution,
У1 (х)
(1-х)?
choose the right answer for the second
independent solution 2(x).
Inj
y2 (x) = xy, (x) +
(1-x)
y2 (x) = In[x| yı (x) +
(1-x)
Injx|
y2 (x) = y1 (x) +
(1–x)²
y2 (x) = In]x| y1 (x) +
(1-x)
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb695cb1e-60d2-45af-a449-f18b4d7de3a6%2F67ce8a43-6629-441d-816f-c4a80eea30ad%2Flx8617h.jpeg&w=3840&q=75)
Transcribed Image Text:You are given the following differential equation:
x (1 – x) y" (x) – 3 x y' (x) - y (x) = 0.
— у (х) %3D 0.
|
If you know that the differential equation has an
independent solution,
У1 (х)
(1-х)?
choose the right answer for the second
independent solution 2(x).
Inj
y2 (x) = xy, (x) +
(1-x)
y2 (x) = In[x| yı (x) +
(1-x)
Injx|
y2 (x) = y1 (x) +
(1–x)²
y2 (x) = In]x| y1 (x) +
(1-x)
%3D
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