Concept explainers
Consider the linear system
(a)Show that the function
is a solution to the differential equation.
(b)Solve the initial-value problem
In Exercises
is specified. Also two functions and an initial value are given. For each system:
- Check that the two functions are solutions of the system; if they are not solutions, then stop.
- Check that the two solutions are linearly independent; if they are not linearly independent, then stop.
- Find the solution to the linear system with the given initial value.
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Check out a sample textbook solutionChapter 3 Solutions
Differential Equations
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,