Linear differential equations

Related lectures (29)

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

Covers second-order linear homogeneous differential equations and their solutions.

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

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

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.

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

Covers second order linear differential equations, focusing on solution construction and the concept of linear independence among solutions.

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.

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