Introduction to partial differential equation and solution of Laplace equation in cartesiaan co-ordinate system.

• The form of Laplace this equation is \(\nabla \phi=0\)
• \(\nabla^2 \phi= -\frac{\rh...}
  Akshamala

Laplace equation in spherical polar co-ordinate

1. $$=\sum_{n=1}^\infty\biggl[C_n e^{n\rho}+D_n e^{-[(n+1)\rho][Be^{im\theta}][Ae^{im\theta}]}...}
   Akshamala

One dimensional wave equation and D-Alembert's solution of wave equation

1. $$\therefore\;\;\;\; u(x,t)=h(x-ct)+f(x+ct)$$ is the D'Alembert's solution for wave eqution...}
   Akshamala

Solution of Laplace equation in cylindrical co-ordinate system and Heat conduction equation

1. The complete solution of Laplace equation in cylindrical co-ordinate system  is

   Akshamala