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Using the following formulas only: L{f} = 8L{f} − ƒ(0), and/or L{f} = s²L{f} − sf(0) - Find L{f} where f(t) = teat + sinh(t), where "a" is a constant and "sinh(t)" is a hyperbolic sine function. Hint: you are not allowed to use the Laplace transform table to answer this question. Only the give formulas, i.e. L{f} = 8L{f} − ƒ(0), and/or L{f} = s²L{f} − sƒ(0) - can be utilised in finding the Laplace transform of f(t).

Using the following formulas only: L{f} = 8L{f} − ƒ(0), and/or L{f} = s²L{f} − sf(0) - Find L{f} where f(t) = teat + sinh(t), where "a" is a constant and "sinh(t)" is a hyperbolic sine function. Hint: you are not allowed to use the Laplace transform table to answer this question. Only the give formulas, i.e. L{f} = 8L{f} − ƒ(0), and/or L{f} = s²L{f} − sƒ(0) - can be utilised in finding the Laplace transform of f(t).

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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Using the following formulas only: L{f} = $L{f} − ƒ(0), and/or L{f} = s²L{f} − sƒ(0) - - Find L{f} where f(t) = teat + sinh(t), where "a" is a constant and "sinh(t)" is a hyperbolic sine function. Hint: you are not allowed to use the Laplace transform table to answer this question. Only the give formulas, i.e. L{f} = sL{f} − ƒ(0), and/or L{f} = s²L{f} − sƒ(0) – can be utilised in finding the Laplace transform of f(t).
Transcribed Image Text:Using the following formulas only: L{f} = $L{f} − ƒ(0), and/or L{f} = s²L{f} − sƒ(0) - - Find L{f} where f(t) = teat + sinh(t), where "a" is a constant and "sinh(t)" is a hyperbolic sine function. Hint: you are not allowed to use the Laplace transform table to answer this question. Only the give formulas, i.e. L{f} = sL{f} − ƒ(0), and/or L{f} = s²L{f} − sƒ(0) – can be utilised in finding the Laplace transform of f(t).
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