Concept explainers
a.
To find:Whether the
a.
Answer to Problem 1CRE
The equation
Explanation of Solution
Given information:The differential equation is
Definition used:The order of a differential equation is the order of the highest derivative appearing in the equation.
A differential equation is called linear if it can be written in the form
The linear equation cannot have terms such as
Calculation:
The given equation contains the term
The order of the equation is 1.
Hence, the equation
b.
To find: Whether the differential equation
b.
Answer to Problem 1CRE
The equation
Explanation of Solution
Given information: The differential equation is
Definition used: The order of a differential equation is the order of the highest derivative appearing in the equation.
A differential equation is called linear if it can be written in the form
The linear equation cannot have terms such as
Calculation:
The given equation is a linear.
The order of the equation is 1.
Hence, the equation
c.
To find: Whether the differential equation
c.
Answer to Problem 1CRE
The equation
Explanation of Solution
Given information: The differential equation is
Definition used: The order of a differential equation is the order of the highest derivative appearing in the equation.
A differential equation is called linear if it can be written in the form
The linear equation cannot have terms such as
Calculation:
The given equation is non-linear as it contains the term
The order of the equation is 1.
Hence, the equation
d.
To find: Whether the differential equation
d.
Answer to Problem 1CRE
The equation
Explanation of Solution
Given information: The differential equation is
Definition used: The order of a differential equation is the order of the highest derivative appearing in the equation.
A differential equation is called linear if it can be written in the form
The linear equation cannot have terms such as
Calculation:
The given equation is a linear.
The order of the equation is 1.
Hence, the equation
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Chapter 10 Solutions
CALCULUS (CLOTH)
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,