Linear Differential Equations: An Application

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Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

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

Explores free undamped oscillations in a harmonic oscillator and their graphical representation over time.

Covers linear differential equations of order 1 and their solutions.

Covers the addition of springs in series and parallel, exploring equivalent movements.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Explores equilibrium and stability of a vertical metronome system with springs.

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.