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Homogeneous differential equation
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Related lectures (29)
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Homogeneous Differential Equations
Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.
Linear Differential Equations
Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.
Differential Equations: Speed Variation Analysis
Covers the analysis of speed variation using differential equations and small time intervals.
Solving Separable Equations
Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.
Differential Equations: General Solutions and Methods
Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.
Addition of Springs: General Physical Exercises I
Covers the addition of springs in series and parallel, exploring equivalent movements.
Ordinary Differential Equations: Non-linear Analysis
Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.
One Dimensional Harmonic Oscillator
Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.
Linear Differential Equations
Explores solving linear differential equations and the principle of superposition with illustrative examples.
Population Growth and Temperature Variation
Explores population growth models and temperature variation equations, focusing on differential equations and solution methods.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Separable Differential Equations
Covers separable differential equations of order 1, defining separable equations and providing examples.
Canonical Transformations: Existence and Equations
Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.
Linear Homogeneous Equations
Covers second-order linear homogeneous differential equations and their solutions.
General Solution of Homogeneous Second Order Linear Differential Equations
Covers the general solution of homogeneous second-order linear differential equations with constant coefficients and the concept of linear independence of solutions.
Advanced Analysis II: Differential Equations and Timers
Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.
Linear Differential Equations: Order 1
Covers linear differential equations of order 1 and their solutions.
General Integrals: Notation and Equations
Covers the general concept of integrals, focusing on notation and equations.
Linear Differential Equations
Covers linear differential equations and methods to find solutions with examples.
Vertical Metronome: Equilibrium and Stability
Explores equilibrium and stability of a vertical metronome system with springs.
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