PDE;D’Alembert’s Solution of the Wave Equation

1. Advanced Engineering Mathematic
(2130002)
Active Learning Assignment
“PDE;D’Alembert’s Solution of the Wave Equation”
Branch : CE
Sem (Div) : 3rd- B3
Student’s Name :Vaani Pathak
Enrollment No.:170120107131
Guided By:Prof. Jalpa Ma’am.

2. D’Alembert’s Formula
• In mathematics ,and specifically partial
differential equations, D’Alembert’s
formula is the general solution to the
one-dimensional wave equation.
• There is an elegant approach to solve
wave equation by introducing new
variables:
v=x+ct, z=x-ct, u(x,t)=u(v,z) { }.

4. CONTINUE………

6. CONTINUE……..