Determine which of the following are ordinary differential equations and which are partial differential equations. State also the order.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine which of the following are ordinary differential equations and which are
partial differential equations. State also the order.
EQUATION
ORDINARY OR
ORDER
PARTIAL
+ 3
dx2
dz
2.
d²y
1.
+ 2y = 0
dx
dy
az
= z + x
ax
ду
3. ху'+у — 3
4. y" + 2(y")² + y' = cos x
a2z
a2z
= x2 +y
ду?
dy
= 5x + 3
dx
d²y
+ 2 ()
7. ev
= 1
dx2
d3 y
+ sin x
dx
d?y
8. 4
+ 5xy
%3D
dx3
dx2
9. ху? + 3ху — 2х3у %3D 7
10. (sinx)y? + 2у%3D Зx3 -5
5.
6.
Transcribed Image Text:Determine which of the following are ordinary differential equations and which are partial differential equations. State also the order. EQUATION ORDINARY OR ORDER PARTIAL + 3 dx2 dz 2. d²y 1. + 2y = 0 dx dy az = z + x ax ду 3. ху'+у — 3 4. y" + 2(y")² + y' = cos x a2z a2z = x2 +y ду? dy = 5x + 3 dx d²y + 2 () 7. ev = 1 dx2 d3 y + sin x dx d?y 8. 4 + 5xy %3D dx3 dx2 9. ху? + 3ху — 2х3у %3D 7 10. (sinx)y? + 2у%3D Зx3 -5 5. 6.
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