Q1.Classifying the following differential equation: Linear or Governing Equations # В.С. # LC. Why? Non-linear ди du 1 =-a dt dx du no at 3. = 0 ax2' ay2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1.Classifying the following differential equation:
19
Linear or
Governing Equations
# B.C.
# LC.
Why?
Non-linear
ди
ди
= -a
dt
du
du
= -u
ax
dt
3.
ax2 ay2
= f(x, y)
%3D
dy?
ƏT
a2T
dt
ди
6.
at
= a?
ax?
at?
(1- M²)¢xx + Øyy
8.
= 0
ƏT
9.
= a
at
ax2 ay2,
= 0
ду
10
du ap
+v
dy' ôx
11
= 0
ax
dv ap
= 0
12
4.
Transcribed Image Text:Q1.Classifying the following differential equation: 19 Linear or Governing Equations # B.C. # LC. Why? Non-linear ди ди = -a dt du du = -u ax dt 3. ax2 ay2 = f(x, y) %3D dy? ƏT a2T dt ди 6. at = a? ax? at? (1- M²)¢xx + Øyy 8. = 0 ƏT 9. = a at ax2 ay2, = 0 ду 10 du ap +v dy' ôx 11 = 0 ax dv ap = 0 12 4.
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