Lectures related to Automorphic Kernels: Heat Equation Solutions

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

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

Explores eigenfunctions, harmonic oscillators, and the solution to linear differential equations using a basis of eigenvectors.

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Covers the solution of differential equations with initial conditions and limit analysis.

Covers the application of separation of variables method to solve the heat equation.