Ordinary Differential Equations: Introduction

Related lectures (27)

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

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

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

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

Covers the general solution of Cauchy problems in first-order differential equations.

Covers the process of solving differential equations using various methods.

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

Covers the existence and uniqueness of solutions for differential equations.

Covers ordinary differential equations, including orders, solutions, and separable equations, with a focus on examples and general solutions.

Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.