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.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Differential Equations
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning