This is the second part of a two-part problem. Let 3,0) - [- cos(2t) -2 sin(2t) (t) = (sin(2t))] I2(t) = -2 cos(2t) Compute the Wronskian to determine whether the functions j, (t) and j2 (t) are linearly independent. Wronskian = det These functions are linearly Choose because the Wronskian is Choose for all t. Therefore, the solutions j, (t) and j, (t) to the system Choose 0 2 dependent independent Choose v form a fundamental set (i.e., linearly independent set) of solutions.

This is the second part of a two-part problem. Let 3,0) - [- cos(2t) -2 sin(2t) (t) = (sin(2t))] I2(t) = -2 cos(2t) Compute the Wronskian to determine whether the functions j, (t) and j2 (t) are linearly independent. Wronskian = det These functions are linearly Choose because the Wronskian is Choose for all t. Therefore, the solutions j, (t) and j, (t) to the system Choose 0 2 dependent independent Choose v form a fundamental set (i.e., linearly independent set) of solutions.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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