Mathematical Methods and Its Applications

Explore mathematical methods and their applications in this comprehensive 6-hour course. Delve into linear differential equations, examining concepts such as linear dependence, independence, and the Wronskian of functions. Master techniques for solving second-order homogeneous linear differential equations with constant coefficients, and learn the Method of Undetermined Coefficients. Discover various approaches for finding particular integrals of second-order linear differential equations. Study Euler-Cauchy Equations and the Method of Reduction for second-order linear differential equations. Gain practical skills in applying these mathematical methods to real-world problems.

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.