MA2014

University of Moratuwa

Hier vind je de beste samenvattingen om te slagen voor MA2014. Er zijn o.a. samenvattingen, aantekeningen en oefenvragen beschikbaar.

Alle 4 resultaten

Sorteer op:

College aantekeningen

Series Solution of Differential Equations and Special Functions
-

-

-

29

augustus 2025

2023/2024
This note explains the series solution methods for second-order linear differential equations with variable coefficients, including solutions about ordinary and regular singular points using the Frobenius method. It introduces the indicial equation, discusses different root cases, and includes worked examples. Special functions such as Bessel functions are also covered, highlighting their importance in engineering applications.
achirahansindu
$7.99 Meer Info

College aantekeningen

Partial Differential Equations
-

-

-

41

augustus 2025

2023/2024
This document offers a comprehensive guide to Partial Differential Equations (PDEs). It covers the definition, classification, and types of PDEs, including elliptic, parabolic, and hyperbolic equations. The notes explain key solution techniques such as direct integration, separation of variables, Fourier series methods, and the use of Laplace’s equation in both Cartesian and polar coordinates. Worked examples demonstrate applications to problems in heat conduction, wave motion, and steady-stat...
achirahansindu
$7.99 Meer Info

College aantekeningen

Solving Differential Equations using Fourier Series
-

-

-

20

augustus 2025

2023/2024
This document provides a detailed guide to solving differential equations using Fourier Series. It explains the fundamentals of Fourier series representation, including sine and cosine series, half-range expansions, and the complex form. The notes cover key theorems such as Dirichlet’s conditions and Parseval’s formula, along with generalized integration by parts. Numerous worked examples illustrate the step-by-step process of forming Fourier series for various periodic and piecewise functio...
achirahansindu
$7.99 Meer Info

College aantekeningen

Solving Differential Equations using Laplace Transform
-

-

-

45

augustus 2025

2025/2026
This document provides a comprehensive guide to solving differential equations using Laplace Transforms. It covers fundamental Laplace Transform definitions, common transforms for standard functions, important theorems such as linearity, shifting, and convolution, as well as the inverse Laplace Transform. The notes include worked examples demonstrating the application of Laplace methods to solve ordinary differential equations (ODEs), including those with initial conditions, periodic inputs, and...
achirahansindu
$7.99 Meer Info