5 di 1 Lai +R+= Ew cos wt 6. dx² * ay? (d²w' 7 dw -xy- + w =0 dx2 8 d'x +x dy xp 4xy 0 dy d'y +7 dx - 8y = 0 dx 10 Je af + y nf ду 9

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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Solve number 5-10

State whether the equation is ordinary or partial, linear or non-linear and give its order.
Ordinary or
Linear or Non-
Equation
Order
Partial
linear
d²i
di
+R
dt2
5
= Ew cos wt
dt
= 0
ax2 ay?
(d²w\
7
dw
- xy + w = 0
dx²
dx
dy
d²y
dx2
af
dx
dx
+x
8
4xy = 0
dy
+7
- 8y = 0
dx,
af
nf
ду
10
ax
Transcribed Image Text:State whether the equation is ordinary or partial, linear or non-linear and give its order. Ordinary or Linear or Non- Equation Order Partial linear d²i di +R dt2 5 = Ew cos wt dt = 0 ax2 ay? (d²w\ 7 dw - xy + w = 0 dx² dx dy d²y dx2 af dx dx +x 8 4xy = 0 dy +7 - 8y = 0 dx, af nf ду 10 ax
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