4. Classify and reduce the following equations to a canonical form: (a) y°u -x°u„ = 0, x>0, y>0. %3D (b) ua + 2uxy + uyy = 0. %3D (c) e*u+e°u» = u. (d) x*u + 2xyuy + y'uy = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Classify and reduce the following equations to a conical form .see my question in pictures

4. Classify and reduce the following equations to a canonical form:
(a) y'u-x'u yy = 0,
x>0,
y>0.
|
+ 2uy +uyy = 0.
%3D
(c) eu+e'uy = u.
Ux
(d) x*u +2xyu
, + y°um = 0.
%D
(e) 4ux+5uy +uw +Uz +Uy = 2.
x,
+ Ux +Uy
Transcribed Image Text:4. Classify and reduce the following equations to a canonical form: (a) y'u-x'u yy = 0, x>0, y>0. | + 2uy +uyy = 0. %3D (c) eu+e'uy = u. Ux (d) x*u +2xyu , + y°um = 0. %D (e) 4ux+5uy +uw +Uz +Uy = 2. x, + Ux +Uy
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