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*) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are linearly independent. Wronskian = det sin(3x) 3cos(3x) cos(4x) -4sin(4x) 31 = These functions are linearly independent because the Wronskian is nonzero for some ✓ value(s) of x.

*) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are linearly independent. Wronskian = det sin(3x) 3cos(3x) cos(4x) -4sin(4x) 31 = These functions are linearly independent because the Wronskian is nonzero for some ✓ value(s) of x.

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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= **) Use the Wronskian to determine whether the functions y₁ and y₂ = cos(4x) are linearly independent. Wronskian = det sin(3x) 3cos(3x) cos(4x) -4sin(4x) = sin(3x) These functions are linearly independent because the Wronskian is nonzero for some ✓ value(s) of x.
Transcribed Image Text:= **) Use the Wronskian to determine whether the functions y₁ and y₂ = cos(4x) are linearly independent. Wronskian = det sin(3x) 3cos(3x) cos(4x) -4sin(4x) = sin(3x) These functions are linearly independent because the Wronskian is nonzero for some ✓ value(s) of x.
Determine whether the series is absolutely convergent, conditionally convergent, or divergent: The series is ? 00 n=1 (-7) " n n4
Transcribed Image Text:Determine whether the series is absolutely convergent, conditionally convergent, or divergent: The series is ? 00 n=1 (-7) " n n4
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