# Use Definition 7.1.1 to find {f (t)}. f(t) = e t cos t Definition 7.1.1 Let f be a function defined for t = 0. Then the integral e f(1) dt

Use Definition 7.1.1 to find ℒ{f (t)}.

f(t) = e^{t} cos t

**Definition 7.1.1**

Let f be a function defined for t = 0. Then the integral

is said to be the Laplace transform of f, provided that the integral converges.

**Transcribed Image Text:**

## e " f(1) dt

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**Related Book For**

## A First Course in Differential Equations with Modeling Applications

**ISBN:** 978-1111827052

10th edition

**Authors:** Dennis G. Zill

**Question Details**

Chapter #

**7**- Series Solutions of Linear EquationsSection: Exercises 7.1

Problem: 16

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