Differential equations I

Other, , Prof. Chris Tisdell

Updated On 02 Feb, 19

Overview

Contents:
How to solve separable differential equations - Separable differential equations - How to solve initial value problems-Linear - first-order differential equations - First order, linear differential equation - Linear differential equations, first order - Homogeneous first order ordinary differential equation - How to solve ANY differential equation - Mixing problems and differential equations - How to solve 2nd order differential equations - Variation of parameters to solve differential equations - Variation of Constants / Parameters -Vibrating systems, ODEs + variation of parameters tutorial - Laplace transforms + differential equations

Fourier series + differential equations - Laplace transforms & differential equations - Differential equations: Laplace transforms - Heat equation: Separation of variables - Heat equation derivation - Wave equation: D'Alembert approach - Heat equation + Fourier series - How to solve linear differential equations - Heat equation + Fourier series + separation of variables - D'alembert's approach for boundary value problems - How to solve Chebyshev's equation - How to solve systems of ODEs without matrices - How to determine eigenvalues of a boundary value problem - Eigenvalues of a Sturm Liouville differential equation - Separable ODEs: an initial value problem - How to solve differential equations by substitution - D'alembert's approach for boundary value problems

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Lecture 20: Second-order differential equations how to solve.

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Lecture Details

Free ebook httptinyurl.comEngMathYTA lecture on how to solve second order, ordinary differential equations with constant coefficients and a zero right-hand side (homogeneous). The practical analysis mostly involves examining the roots of the associated quadratic equation (characteristic equation).I motivate the study, mention existence and uniqueness of solutions, and derive justify some forms of the solution.