Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
x=var('x') t=var('t') c=var('c') # An arbitary Constant u=function('u',x,t) u=x^2+t^2 pde=diff(u,t,t)-c^2*diff(u,x,x) print solve(pde,c) #Thus, given 'u' is a solution of PDE since we can find a suitable constant 'c' for which equation is satisfied. plot3d(lambda x, t: x^2 + t^2, (-2,2), (-2,2))
Solution by:
- Aashita Kesarwani, Student, IIT Roorkee
- Snehal Mitragotri, Ex-student, IIT Roorkee'
Tale PrafullKumar, Student, IIT Roorkee