Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
x=var('x') t=var('t') c=var('c') # An arbitary Constant w=var('w') u=function('u',x,t) u=exp(-(w^2)*(c^2)*t)*sin(w*x) # solution pde=diff(u,t)-c^2*diff(u,x,x) print solve(pde,w,c) # Verification of solution #Thus, given 'u' is not a solution of given P.D.E. since there's no suitable constant 'c' to satisfy the equation
Solution by:
- Aashita Kesarwani, Student, IIT Roorkee
- Snehal Mitragotri, Ex-student, IIT Roorkee
Tale PrafullKumar, Student, IIT Roorkee