Characteristic Polynomials: Roots and Solutions

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

Covers ordinary differential equations, their orders, examples, and applications in various fields.

Explores population growth models and temperature variation equations, focusing on differential equations and solution methods.

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

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

Explores the principle of superposition in differential equations and the fundamental theorem of algebra.

Covers the basics of ordinary differential equations, including definitions, examples, and solutions.

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

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.