Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a system? What is the order? Is it linear or nonlinear, and if it is linear, is it homogeneous, constant coefficient? If it is an ODE, is it autonomous? b) f du dx ди +3 = xy dy d²u at² dax dt4 + 11 = 0 2²u ds² = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a
system? What is the order? Is it linear or nonlinear, and if it is linear, is it homogeneous, constant
coefficient? If it is an ODE, is it autonomous?
du
b) +3-
d)
f
du
dy
dt4
d²u
J²u
at² ds²
+11
= xy
= 0
= 0
Transcribed Image Text:Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a system? What is the order? Is it linear or nonlinear, and if it is linear, is it homogeneous, constant coefficient? If it is an ODE, is it autonomous? du b) +3- d) f du dy dt4 d²u J²u at² ds² +11 = xy = 0 = 0
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