Differential equations I

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