1. 2. 3. d5y dx5 d³y dx3 y dx + (2xy + ln y )dy = 0 d³y +4x². + cos2x dx3 d²y dx² •+ey = 0 dy d²y +4x². + sin 2x = 2x cos x dx² dx a. Linear in x b. Linear in y C. Non-linear

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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Match the differential equations and the description/s that is/ are true to the 
differential equations below.

1.
2.
3.
4.
5.
Differential Equation
y dx + (2xy + ln y )dy = 0
d5y
dxs
+4x².
d³y
dx³
dx5
d³y d²y
+4x². + sin 2x
dx3
dx²
3
+ cos2x
+ 4x
(4y² + 2y).
d²
dx²
2
d²y
dx²
dy
dx
•+e³ = 0
= 2x cos x
dy
+5=0
dx
d²x
dx
+2y = x sin y
dy² dy
Description
a. Linear in x
b. Linear in y
C. Non-linear
d. Homogeneous
e. Non-Homogeneous
Transcribed Image Text:1. 2. 3. 4. 5. Differential Equation y dx + (2xy + ln y )dy = 0 d5y dxs +4x². d³y dx³ dx5 d³y d²y +4x². + sin 2x dx3 dx² 3 + cos2x + 4x (4y² + 2y). d² dx² 2 d²y dx² dy dx •+e³ = 0 = 2x cos x dy +5=0 dx d²x dx +2y = x sin y dy² dy Description a. Linear in x b. Linear in y C. Non-linear d. Homogeneous e. Non-Homogeneous
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