. Consider the following differential equation: ** please refer to attachment a. What is the degree of this equation? ______ b. What is the order of this equation? ______ c. Is this equation linear? Yes No d. What is the dependent variable? ______ e. Is this equation homogeneous? Yes No g. Is this an “ordinary” differential equation? Yes No

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question

1. Consider the following differential equation:

** please refer to attachment


a. What is the degree of this equation? ______
b. What is the order of this equation? ______
c. Is this equation linear? Yes No
d. What is the dependent variable? ______
e. Is this equation homogeneous? Yes No
g. Is this an “ordinary” differential equation? Yes No

 

2.  Solve the differential equation shown for y:

y" = sinx; y'(0) = 0 and y(0) = 1

1. (6) Consider the following differential equation:
3
(d²y)
(dx²) + 2y (22) ²
+y4
ale
5
2. (4) Solve the differential equation shown for y:
= x
a. What is the degree of this equation?
b.
What is the order of this equation?
c. Is this equation linear?
d. What is the dependent variable?
e. Is this equation homogeneous?
Yes
g. Is this an "ordinary" differential equation? Yes No
Yes No
No
y" = sinx; y'(0) = 0 and y(0) = 1
Transcribed Image Text:1. (6) Consider the following differential equation: 3 (d²y) (dx²) + 2y (22) ² +y4 ale 5 2. (4) Solve the differential equation shown for y: = x a. What is the degree of this equation? b. What is the order of this equation? c. Is this equation linear? d. What is the dependent variable? e. Is this equation homogeneous? Yes g. Is this an "ordinary" differential equation? Yes No Yes No No y" = sinx; y'(0) = 0 and y(0) = 1
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