Concept explainers
a.
To find:
To find at least one particular solution for
a.
Answer to Problem 80E
The solution is
Explanation of Solution
Given information:
The given derivative is
Consider the derivative
Find the anti-derivative twice to find y,
Therefore, the solution is
b.
To find:
To find at least one particular solution for
b.
Answer to Problem 80E
The solution is
Explanation of Solution
Given information:
The given derivative is
Consider the derivative
Find the anti-derivative twice to find y,
Therefore, the solution is
c.
To find:
To find at least one particular solution for
c.
Answer to Problem 80E
The solution is
Explanation of Solution
Given information:
The given derivative is
Consider the derivative
Find the anti-derivative twice to find y,
Therefore, the solution is
d.
To find:
To find at least one particular solution for
d.
Answer to Problem 80E
The solution is
Explanation of Solution
Given information:
The given derivative is
Consider the derivative
A second order linear homogeneous differential equation with constant co-efficients has the form
Rewrite in the form of a second order differential equation,
The auxillary equation can be written as
Therefore, the roots are
For two real roots
Hence, the general solution is
Therefore, the general solution is
e.
To find:
To find at least one particular solution for
e.
Answer to Problem 80E
The solution is
Explanation of Solution
Given information:
The given derivative is
Consider the derivative
A second order linear homogeneous differential equation with constant co-efficients has the form
Rewrite in the form of a second order differential equation,
The auxillary equation can be written as
Therefore, the roots are
For two complex roots
Where
Hence, the general solution is
Therefore, the general solution is
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus (10th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
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