Differential Equations Part II Series Solutions

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Free Online Course: Differential Equations Part II Series Solutions provided by Coursera is a comprehensive online course, which lasts for 7 weeks long, 13 hours worth of material. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Coursera. Differential Equations Part II Series Solutions is taught by Kil Hyun Kwon.

Overview
  • This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a rudimentary but indispensable knowledge of the underlying theory and some related applications.

    The prerequisites of the courses is one- or two- semester calculus course and some exposure to the elementary theory of matrices like determinants, Cramer’s Rule for solving linear systems of equations, eigenvalues and eigenvectors.

Syllabus
    • Euler Equations
    • Power Series
    • Solutions about ordinary points
    • Frobenius Theorem
    • Finding a Second Solution
    • Bessel Functions
    • Legendre Polynomials