General Solutions of Differential Equations

Related lectures (27)

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Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

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

Explores general solutions of differential equations with a focus on x

Explores general solutions of Cauchy problems and differential equations with integrating factors.

Covers linear differential equations of order 1, focusing on homogeneous and separable equations.

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

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.

Covers the method of variation of constants for solving differential equations.

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.

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