Differential Equations and System Composition

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Related lectures (29)

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Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Numerical Analysis: Stability in ODEs

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

Fourier Transform: LTI Systems

Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.

Partial Fraction Expansion

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Laplace Transform: Properties and Examples

Covers the Laplace Transform, including its properties and examples.

Inverse Laplace Transform

Covers the Inverse Laplace Transform and its applications in finding projections from the Laplace domain to the time domain.

Differential and Difference Equations

Explores differential and difference equations for causal LTI systems using examples of RC circuits and vehicle motion.

One Dimensional Harmonic Oscillator

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

Homogeneous Differential Equations

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