Variation of parameters

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Related lectures (28)

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Scalar Linear 2nd Order ODEs: Obtaining Particular Solution

Covers the variation of parameters method to obtain particular solutions to inhomogeneous ODEs.

Differential Equations: General Solutions and Methods

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Linear Differential Equations

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

General Solution of Homogeneous Differential Equations

Explores the theory of solutions for linear differential equations, covering uniqueness, variation of constants, and non-uniqueness.

General Solutions of Differential Equations

Covers finding general solutions for differential equations using various methods and concepts, including explicit and implicit forms, integration constants, and intermediate hypotheses.

Conformal Transformations: Theory and Applications

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.

EDOL1: Inhomogeneous Case

Covers the analysis of second-order linear differential equations with constant coefficients in the inhomogeneous case.

Scalar Linear Higher Order ODEs: Properties and Solutions

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

Linear Differential Equations

Covers linear differential equations and methods to find solutions with examples.

Characteristic Polynomials and Solutions

Covers characteristic polynomials, roots, and associated solutions for differential equations.