. 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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 4CR
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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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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,