Ordinary Differential Equations: Introduction

Related lectures (27)

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

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Covers separable differential equations of order 1, defining separable equations and providing examples.

Covers the basics of ordinary differential equations, including definitions, examples, and solutions.

Explores general solutions of differential equations with a focus on x

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Discusses ordinary differential equations, focusing on initial conditions and methods for finding solutions.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores population growth models and temperature variation equations, focusing on differential equations and solution methods.

Explores general solutions of differential equations, emphasizing homogeneous and inhomogeneous equations and the process of finding solutions.