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= Let f be a function defined for t≥ 0. Then the integral L{f(t)} . - fotº e- 0 provided that the integral converges. Consider the following function. f(t) L{f(t)} = 1 1 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (3,6) (s > 0) e-stf(t) dt is said to be the Laplace transform of f,

= Let f be a function defined for t≥ 0. Then the integral L{f(t)} . - fotº e- 0 provided that the integral converges. Consider the following function. f(t) L{f(t)} = 1 1 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (3,6) (s > 0) e-stf(t) dt is said to be the Laplace transform of f,

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} provided that the integral converges. Consider the following function. L{f(t)} = f(t) 1 1 (3, 6) = - fºe- e-stf(t) dt is said to be the Laplace transform of f, 0 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (s > 0)
Transcribed Image Text:DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} provided that the integral converges. Consider the following function. L{f(t)} = f(t) 1 1 (3, 6) = - fºe- e-stf(t) dt is said to be the Laplace transform of f, 0 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (s > 0)
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