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B. Find Lf (1)} using the appropriate formula. Note: a, b, and n are constants. 1. f()=(r* -3)' 2. f(1)= cos 3t Hint: Sum and Difference Identities 2 tt-2bt 3. f(t)= e"-201 Hint: Laws of Exponents 4. f(t) = 2 sinh (-41) Hint: Definition of hyperbolic sine function 5. f(t) =t cos 2t cos 5t Hint: Product to Sum Identities

B. Find Lf (1)} using the appropriate formula. Note: a, b, and n are constants. 1. f()=(r* -3)' 2. f(1)= cos 3t Hint: Sum and Difference Identities 2 tt-2bt 3. f(t)= e"-201 Hint: Laws of Exponents 4. f(t) = 2 sinh (-41) Hint: Definition of hyperbolic sine function 5. f(t) =t cos 2t cos 5t Hint: Product to Sum Identities

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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B. Find Lf (t)} using the appropriate formula. Note: a, b, and n are constants. 1. f(1)=(r -3)' 2. f(t)= cos 3t-- Hint: Sum and Difference Identities 2 at-2bt 3. f(t)=e"-2or Hint: Laws of Exponents 4. f(1) = 2 sinh (-41) Hint: Definition of hyperbolic sine function 5. f(1) =t cos 2t cos 5t Hint: Product to Sum ldentities
Transcribed Image Text:B. Find Lf (t)} using the appropriate formula. Note: a, b, and n are constants. 1. f(1)=(r -3)' 2. f(t)= cos 3t-- Hint: Sum and Difference Identities 2 at-2bt 3. f(t)=e"-2or Hint: Laws of Exponents 4. f(1) = 2 sinh (-41) Hint: Definition of hyperbolic sine function 5. f(1) =t cos 2t cos 5t Hint: Product to Sum ldentities
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