Advanced analysis II: second order linear ODEs

Related lectures (27)

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Explores properties and solutions of scalar linear higher order ODEs with x-dependent coefficients and constant coefficients.

Covers the solution of linear differential equations of the first order, both homogeneous and inhomogeneous cases.

Explores general solutions of differential equations, emphasizing homogeneous and inhomogeneous equations and the process of finding solutions.

Covers the solutions of homogeneous linear differential equations and how to find linearly independent solutions.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Covers second-order linear differential equations and their solutions, including the method of variation of constants.

Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers linear homogeneous second order differential equations and their solutions, including the concept of the Wronskian.

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.