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LAPLACE TRANSFORM WITH APPLICATIONS
Laplace transform is widely used integral transform and can be used for determining the solution of many practical problems of engineering and sciences such as the motion of a body under the action of a given force, electric circuit problem, radioactive decay problem, growth problem of bacteria, trajectories problems, problem of HIV-1 infection, problem of arms race between nations, problem of estimating the cost of national health insurance, problem of drug administration, dilution problem, temperature problem, problem of deflection of beam and problem of determine the concentration of chemical substances of consecutive chemical reaction.
The main objective of this book is to explore the basic concepts of Laplace transforms, inverse Laplace transforms with applications for solving linear differential equations (constant coefficients and variable coefficients), system of first order simultaneous ordinary linear differential equations, population growth and decay problems. The present book “LAPLACE TRANSFORM WITH APPLICATIONS” contains six chapters.
Chapter 1 deals with Laplace transforms with its fundamental properties.
Chapter 2 discusses the inverse Laplace transforms with partial fraction method and convolution theorem of inverse Laplace transforms for determining the inverse Laplace transforms of functions.
Chapter 3 discusses the application of Laplace transform for solving linear differential equation with constant coefficients.
Chapter 4 deals with the application of Laplace transform for solving linear differential equation with variable coefficients.
Chapter 5 discusses the application of Laplace transform for solving system of first order simultaneous ordinary linear differential equations.
Chapter 6 deals with the application of Laplace transform for solving population growth and decay problems.
The main objective of this book is to explore the basic concepts of Laplace transforms, inverse Laplace transforms with applications for solving linear differential equations (constant coefficients and variable coefficients), system of first order simultaneous ordinary linear differential equations, population growth and decay problems. The present book “LAPLACE TRANSFORM WITH APPLICATIONS” contains six chapters.
Chapter 1 deals with Laplace transforms with its fundamental properties.
Chapter 2 discusses the inverse Laplace transforms with partial fraction method and convolution theorem of inverse Laplace transforms for determining the inverse Laplace transforms of functions.
Chapter 3 discusses the application of Laplace transform for solving linear differential equation with constant coefficients.
Chapter 4 deals with the application of Laplace transform for solving linear differential equation with variable coefficients.
Chapter 5 discusses the application of Laplace transform for solving system of first order simultaneous ordinary linear differential equations.
Chapter 6 deals with the application of Laplace transform for solving population growth and decay problems.
Paperback
Published September 5, 2021
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