Concept
Variation of parameters
Related lectures (53)
Particular Solutions in Differential Equations
Explores finding particular solutions in differential equations using indeterminate coefficients and solving associated homogeneous equations.
Linear Differential Equations
Covers the resolution of linear differential equations, focusing on equations of order n and constant coefficients.
Linear Differential Equations
Explores solving second-order linear differential equations with constant coefficients and various demonstration methods, including demonstration by absurdity.
Scalar Linear 2nd Order ODEs: Obtaining 2nd Solution
Focuses on obtaining a second solution to a linear second-order ODE.
Wronskian: Associated Concepts
Explores the concept of Wronskian in scalar linear ODEs of arbitrary order.
Frobenius Method: Introduction
Introduces the Frobenius method for solving second-order linear ODEs around ordinary points.
Frobenius Method: General Case of Regular Singular Point
Explores the Frobenius method for regular singular points in ODEs, emphasizing the nature of roots and deriving solutions.
Diffusion: Fick's Law and Einstein's Demonstration
Explores Fick's law, diffusion equations, and real-life applications.
Linear Homogeneous Equations
Covers second-order linear homogeneous differential equations and their solutions.
Ordinary Differential Equations: Second Order
Covers the resolution of linear ordinary differential equations of the second order with constant coefficients and a source term.