Lectures related to Unique Solutions in Differential Equations

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

Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Explores Laplace equation solutions through separation of variables and general solution writing for complex problems.

Covers solving differential equations using Bernoulli's equation and variable transformations to simplify linear inhomogeneous forms.

Covers ordinary differential equations, including orders, solutions, and separable equations, with a focus on examples and general solutions.

Covers the method of separation of variables to find the general solution of differential equations.