(a)
To show: The solution is
(a)
Explanation of Solution
Consider the initial value problem is
Therefore, the given solution is
Differentiate the equation
Substitute the value of the
Hence, it is a solution of the initial problem. Lastly, verify that it satisfies the initial condition
Substitute the value of
Hence, the value of
(b)
The solution
(b)
Answer to Problem 1P
The solution
Explanation of Solution
Consider the initial value problem
First, to calculate the corresponding homogeneous equation
The particular solution is of the form
Since, it must be a solution of the initial problem.
In order to calculate the value of
The solution of the initial ODE is given as
Substitute the value
Substitute the value of
Therefore, the difference at
Hence, the solution
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Chapter 8 Solutions
Elementary Differential Equations
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