(t^2)y′′−6y =0, t > 0, check that y1 =t^3 and find y2 and write the solution of y(t) Choose your favorite method to find the second linearly independent solution (Abel's theorem or reduction or order). Choose the correct form of the general solution from the list below.

(t^2)y′′−6y =0, t > 0, check that y1 =t^3 and find y2 and write the solution of y(t) Choose your favorite method to find the second linearly independent solution (Abel's theorem or reduction or order). Choose the correct form of the general solution from the list below.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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Question

Consider the followiing equation (t^2)y′′−6y =0, t > 0, check that y1 =t^3 and find y2 and write the solution of y(t)

Choose your favorite method to find the second linearly independent solution (Abel's theorem or reduction or order). Choose the correct form of the general solution from the list below.

Expert Solution