Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e4x ande*. Think of the corresponding vector solutions y, and ý, and use the Wronskian to show that the solutions are linearlyZ =1independent.Wronskian = detThese solutions are linearly independent because the Wronskian isnonzero v for all x.II

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e4x and z = e'x . Think of the corresponding vector solutions y, and y, and use the Wronskian to show that the solutions are linearly 1. independent. Wronskian = det These solutions are linearly independent because the Wronskian is nonzero v for all x.

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e4x and z = e'x . Think of the corresponding vector solutions y, and y, and use the Wronskian to show that the solutions are linearly 1. independent. Wronskian = det These solutions are linearly independent because the Wronskian is nonzero v for all x.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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