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Write T for True or F for False by each question la lj. (d) – cos 2t + v3 sin 2t = 2 cos(2t – 27/3) (e) e(3+2i)t = e3t cos 2t. (f) The Wronskian of two functions f and g is W(f, g)(t) = t² – 4. If the initial conditions are assigned at to = 2, then f and g are linearly dependent.

Write T for True or F for False by each question la lj. (d) – cos 2t + v3 sin 2t = 2 cos(2t – 27/3) (e) e(3+2i)t = e3t cos 2t. (f) The Wronskian of two functions f and g is W(f, g)(t) = t² – 4. If the initial conditions are assigned at to = 2, then f and g are linearly dependent.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please help solve attached differential equations question below.

Can you verify if my T or F responses are correct, and if not can you please explain why?

 

Write T for True or F for False by each question 1a - 1j. F (d) \(-\cos 2t + \sqrt{3} \sin 2t = 2 \cos(2t - 2\pi/3)\). F (e) \(e^{(3+2)t} = e^{3t} \cos 2t\). T (f) The Wronskian of two functions \(f\) and \(g\) is \(W(f, g)(t) = t^2 - 4\). If the initial conditions are assigned at \(t_0 = 2\), then \(f\) and \(g\) are linearly dependent.
Transcribed Image Text:Write T for True or F for False by each question 1a - 1j. F (d) \(-\cos 2t + \sqrt{3} \sin 2t = 2 \cos(2t - 2\pi/3)\). F (e) \(e^{(3+2)t} = e^{3t} \cos 2t\). T (f) The Wronskian of two functions \(f\) and \(g\) is \(W(f, g)(t) = t^2 - 4\). If the initial conditions are assigned at \(t_0 = 2\), then \(f\) and \(g\) are linearly dependent.
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