Linear Differential Equations

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Related lectures (25)

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Homogeneous Solutions: Linear Independence

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Linear differential equations

Explores linear differential equations of order n, including homogeneous and inhomogeneous equations, solutions, and linear independence.

General Solution of Inhomogeneous ED

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Linear Differential Equations

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

Laplace Transform: Properties and Applications

Covers the properties and applications of the Laplace transform in solving differential equations.

Linear Second Order ODEs

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

Differential Equations: Implicit Function Theorem Applications

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Bernoulli Differential Equations: Historical Insights and Solutions

Discusses Bernoulli differential equations, their historical context, and methods for solving them, emphasizing the importance of linear algebra concepts in understanding these equations.

Non-linear Equations: Dichotomy Method

Explores non-linear equations using the dichotomy method for finding zeros with tolerance.