====== Chapter 11: The Laplace Transform ======
Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin. This book is published by Ilmi Kitab Khana, Lahore - PAKISTAN. Solutions of Chapter 11: The Laplace Transform are given here in pdf form.  


====Contents & Summary=====
Let $f$ be a real valued piecewise continuous function defined on $[0,\infty)$. The Laplace transform of $f$, denoted by $\mathcal{L}(f)$, is the function $F$ defined by
$
F(s)=\int_0^{\infty} e^{-st} f(t) dt,
$
provided the above improper integral converges. We have $F=\mathcal{L}(f)$.

Here is the list of other contents given in this chapter.
  * The Laplace transform
  * Properties of the Laplace transform
  * Exercise 11.1
  * Inverse Laplace transform
  * Convolution
  * Exercise 11.2
  * Solution of initial value problem
  * Exercise 11.3 



====View online or download====
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  * **Laplace Transformation, Exercise 11.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch11 The Laplace Transform:Viewer?f=ch11/Laplace-Transformation-Ex-11-1-Umer-Asghar-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch11/Laplace-Transformation-Ex-11-1-Umer-Asghar-Method.pdf|Download PDF]] (1419KB)

  * **Inverse Laplace Transformation, Ex 11.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch11 The Laplace Transform:Viewer?f=ch11/Inverse-Laplace-Transformation-Ex-11-2-Umer-Asghar-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch11/Inverse-Laplace-Transformation-Ex-11-2-Umer-Asghar-Method.pdf|Download PDF]] (1270KB)
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  * **Exercise 11.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch11 The Laplace Transform:Viewer?f=ch11/Chap-11-Articles-Ex-11-1-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch11/Chap-11-Articles-Ex-11-1-Method.pdf|Download PDF]]

  * **Exercise 11.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch11 The Laplace Transform:Viewer?f=ch11/Chap-11-Solutions-Ex-11-1-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch11/Chap-11-Solutions-Ex-11-1-Method.pdf|Download PDF]]

  * **Exercise 11.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch11 The Laplace Transform:Viewer?f=ch11/Chap-11-Solutions-Ex-11-2-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch11/Chap-11-Solutions-Ex-11-2-Method.pdf|Download PDF]]

  * **Exercise 11.3** | VIEW [[:BSc:Notes of Mathematical Method:Ch11 The Laplace Transform:Viewer?f=ch11/Chap-11-Solutions-Ex-11-3-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch11/Chap-11-Solutions-Ex-11-3-Method.pdf|Download PDF]]
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<callout type="success" icon="fa fa-download" title="Notes by Prof Rizwan Saleem">
These notes are written by Muhammad Zahid Iqbal based on the lectures of Prof. Rizwan Saleem

  * **Chapter 11: The Laplace Transoformation** | VIEW [[:BSc:Notes of Mathematical Method:Ch11 The Laplace Transform:Viewer?f=ch11/Chap-11-The-Laplace-Transform-IS|View online]] | [[pdf>files/bsc/method/dn.php?file=ch11/Chap-11-The-Laplace-Transform-IS.pdf|Download PDF]] (8894KB) NEW
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{{tag>BSc_Mathematical_Method Umer_Asghar}}