Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = ³ and 2 = ex. Think of the corresponding vector solutions ₁ and 2 and use the Wronskian to show that the solutions are linearly independent. Wronskian = det | These solutions are linearly independent because the Wronskian is Choose for all x.
Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = ³ and 2 = ex. Think of the corresponding vector solutions ₁ and 2 and use the Wronskian to show that the solutions are linearly independent. Wronskian = det | These solutions are linearly independent because the Wronskian is Choose for all x.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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