Linear Differential Equations

Related lectures (26)

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

Covers linear differential equations of higher order, defining them as linear if they can be rewritten in a specific form.

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

Covers solution methods for linear differential equations of second order with constant coefficients.

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

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

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

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Explores linear differential equations of the second order and the construction of linearly independent solutions.

Covers second-order linear differential equations and their solutions, including the method of variation of constants.