Concept explainers
In Problems 1-28, find a general solution to the given differential equation.
To Find:
A general solution to the given differential equation.
Answer to Problem 1RP
Solution:
A general solution to the given differential equation is
Explanation of Solution
Given:
Approach:
The differential equation
is homogeneous.
The characteristic equation to (1) is given by
Linearly independent solutions of (1) are
The general solution to (1) is given by
Calculation:
From (1) substitute 1 for
From (4) substitute
Substitute
Conclusion:
Hence, a general solution to the given differential equation is
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Chapter 4 Solutions
Fundamentals Of Differential Equations And Boundary Value Problems Plus Mylab Math With Pearson Etext -- Title-specific Access Card Package (7th ... Fundamentals Of Differential Equations)
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