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Timberland High School Transforms of Integrals Engineering Questions

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I need help with my project for an engineering class. Please answer the questions in the time given and make sure you’re writing is clear and readable. Please make sure your answers are correct. This project is on Chapters 5.1, and 4.1-4.3.

Chapter 4: The Laplace Transform

4.1 Definition of the Laplace Transform 212

4.2 The Inverse Transform and Transforms of Derivatives

4.2.1 Inverse Transforms 218

4.2.2 Transforms of Derivatives 220

4.3 Translation Theorems 226

4.3.1 Translation on the s-axis 226

4.3.2 Translation on the t-axis 229

4.4 Additional Operational Properties 236

4.4.1 Derivatives of Transforms 237

4.4.2 Transforms of Integrals 238

4.4.3 Transform of a Periodic Function 244

4.5 The Dirac Delta Function 248

4.6 Systems of Linear Differential Equations 251

Chapter 5: Series Solutions of Linear Differential Equations

5.1 Solutions about Ordinary Points 262

5.1.1 Review of Power Series 262

5.1.2 Power Series Solutions 264

5.2 Solutions about Singular Points 271

5.3 Special Functions 280

5.3.1 Bessel Functions 280

5.3.2 Legendre Functions 288

Chapter 5 in Review 294

link to textbook: https://technicalbookspdf.com/download/2019/10/181019/Advanced%20Engineering%20Mathematics%20Sixth%20Edition%20by%20Dennis%20G.%20Zill.pdf

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