Concept explainers
Program Description: Purpose of the problem is to solve the initial value problem
Explanation of Solution
Given information:
The differential equation is written as,
The initial values for differential equation is written as,
Calculation:
Take the Laplace transform of the given differential equation and solve as shown below.
Further, simplify the expression as,
Further, simplify the expression as,
So, graph the solution
The solution of the differential equation is continuous for all real numbers.
Conclusion:
Thus, the solution of the given initial value problem is
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Chapter 7 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage