Mathematical Methods and Its Applications

Overview

This course covers linear differential equations, including topics such as linear dependence, independence, and Wronskian of functions. Students will learn methods for solving second-order homogeneous linear differential equations with constant coefficients, as well as techniques for finding particular integrals. The teaching method includes theoretical explanations and problem-solving demonstrations. This course is intended for learners interested in gaining a deeper understanding of mathematical methods and their applications.

Syllabus

Introduction to Linear differential equations.
Linear dependance, independence and Wronskian of functions.
Solution of second order homogenous linear differential equations with constant coefficients - I.
Solution of second order homogenous linear differential equations with constant coefficients - II.
Method of Undetermined Coefficients.
Methods for finding particular integral for second-order.
Methods for finding particular integral for second-order.
Methods for finding Particular integral for second-order linear.
Euler-Cauchy Equations.
Method of Reduction for second-order linear differential equations.