Question 1 ( In the following table, state the order of each of the differential equations. Are they linear or nonlinear? For each nonlinear equation, CIRCLE a term that makes it nonlinear. For each equation, tell whether it is Ode or Pde. Partial Differential Equation Order? Linear? Ode-Pde (Y/N) a u a u - y² sin(x) ex N at2 дх2 очид и д и ди ду² ах2 дх² ду + -- 0 ди ди /tan(x^er) + х - у = 0 ду Әх Budu a²u д и ди - =X at ax дх2 ах² at ?и ди T 0 Әх ду Х /tan(x^e') ди cos(x)= ду ml. 19 d12 d2e dt2 + cl ди at dq 1 +R +- de dt = D(- + ди əx ди - у - у ду диди ди + = 0 дудх ?x q = E. cos wt + mg sin 0 = Focoswt - J²u azu a²к + дх² ду² дz2 2 124б DU pdc Pde Pde Ple Ple Ple обе pde
Question 1 ( In the following table, state the order of each of the differential equations. Are they linear or nonlinear? For each nonlinear equation, CIRCLE a term that makes it nonlinear. For each equation, tell whether it is Ode or Pde. Partial Differential Equation Order? Linear? Ode-Pde (Y/N) a u a u - y² sin(x) ex N at2 дх2 очид и д и ди ду² ах2 дх² ду + -- 0 ди ди /tan(x^er) + х - у = 0 ду Әх Budu a²u д и ди - =X at ax дх2 ах² at ?и ди T 0 Әх ду Х /tan(x^e') ди cos(x)= ду ml. 19 d12 d2e dt2 + cl ди at dq 1 +R +- de dt = D(- + ди əx ди - у - у ду диди ди + = 0 дудх ?x q = E. cos wt + mg sin 0 = Focoswt - J²u azu a²к + дх² ду² дz2 2 124б DU pdc Pde Pde Ple Ple Ple обе pde
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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Transcribed Image Text:Question 1 (
In the following table, state the order of each of the differential equations. Are they linear or nonlinear? For each nonlinear
equation, CIRCLE a term that makes it nonlinear. For each equation, tell whether it is Ode or Pde.
Partial Differential Equation
Order?
Linear?
Ode - Pde
(Y/N)
8² u
a²u
- y² sin(x)
ex.
at²
2x²
a²u du
1 0
ax² dy
du
+x-y- = 0
əx
a²u d²u du
=X
2x²
ax² at
-y-y
0
x
Ởu đâu
dy² əx²
√tan(x*er)
tan(x*e¹)-
du
cos(x)= +
ду
d²q
dt2
d²e
dt²
ml.
+
du
dy
du du
at ax
-
du du
əx əy
ди
əx
ди
dy
du du
ди
+ = 0
dy əx ax
dq 1
+R +-q=&, cos wt
dt
de
+mg sin 0= Fo coswt
+ cl
ди
a²u a²u ²
= D(
+ +
at 0x² Oy² дz2
2nd
2nd
DU
pdc
Pdc
Pde
Ple
Ple
Ple
ode
pde
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