Tag: linear differential equations

  • Uniqueness Theorem in Electrostatics, Lecture 12.

    Uniqueness Theorem in Electrostatics, Lecture 12.

    The uniqueness theorem can be stated as the following: “To every boundary value condition there exists a unique solution to the Laplace equation. Two solutions of Laplace equation that satisfy the same boundary value condition are (i) same for Dirichlet Boundary Value Condition and (ii) differ by an additive constant for Neumann Boundary Value Condition.

  • Waves

    Waves

    Optics Series Lecture, Lecture – XII and – XIII “Traveling waves, Differential wave equations, Particle and wave velocities.” In one of our earlier optics session lecture I had hinted at having waves defined by their pulse shape called as wave profile — or alternatively wave shape or wave form, and transcribing them into forms that…