Differential anaysis

Related lectures (26)

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

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

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

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.

Explores stochastic processes in continuous time, emphasizing Brownian motion and related concepts.

Explores Lipschitz conditions in differential equations and their implications on solutions and properties.

Explores equilibrium and stability of a vertical metronome system with springs.