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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

Advanced Engineering Mathematics
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 ƒ3(x) = e4x is linearly independent on the interval (0, ∞). Select one: True O False The 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 True O False
Transcribed Image Text:The given set of functions: fi(x) = e*, f2(x) = e-3× and ƒ3(x) = e4x is linearly independent on the interval (0, ∞). Select one: True O False The 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 True O False
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