y,(x) = ež,y',(x) = xey" – y' + 0.25y = 0,a. Verify if the functions yı and y2 are solution of the given differential equation.b. Find the Wronskian of the given sets of function and determine if they are linearlydependent or not.

To check that a function is a solution of a differential equation, if we substitute in the left…

Answered: y,(x) = ež, y',(x) = xe y" – y' + 0.25y…

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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y,(x) = ež, y',(x) = xe y" – y' + 0.25y = 0, a. Verify if the functions yı and y2 are solution of the given differential equation. b. Find the Wronskian of the given sets of function and determine if they are linearly dependent or not.