The given set of functions:fi(x) = e*, f2(x) = e-3× and ƒ3(x) = e4x islinearly independent on the interval (0, ∞).Select one:TrueO FalseThe function y = ln (4x + 1) satisfies the IVP:%3D(4x + 1)?y" – 16 = 0, y(0) = 0, y'(0) = 4.%3D%3D-Select one:O TrueO False

Answered: Image /qna-images/answer/4510287e-b7c8-4481-b7e7-7b8241018017.jpg

Answered: The given set of functions: fi(x) = e*,…

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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The given set of functions: fi(x) = e*, f2(x) = e¬3× and f3(x) = e4* is linearly independent on the interval (0, o0). %3D Select one: O True OFalse The function y = ln (4x + 1) satisfies the IVP: %3D (4x + 1) y" – 16 = 0, y(0) = 0, y' (0) = 4. Select one: O True O False

The given set of functions: fi(x) = e, f2(x) = e¬3× and f3(x) = e4 is linearly independent on the interval (0, o0). %3D Select one: O True OFalse The function y = ln (4x + 1) satisfies the IVP: %3D (4x + 1) y" – 16 = 0, y(0) = 0, y' (0) = 4. Select one: O True O False