||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
x=var('x')
t=var('t')
c=var('c') #  An arbitary Constant
u=function('u',x,t)
u=exp(-t)*sin(x) # solution
pde=diff(u,t)-c^2*diff(u,x,x) 
print solve(pde,c) # Verification of solution
#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:exp(-t)*sin(x) , (-2,2), (-2,2))
}}}

/* code_ends */

 * '''Solution by''': 
   * Aashita Kesarwani, Student, IIT Roorkee
   * Snehal Mitragotri, Ex-student, IIT Roorkee'
   * Tale PrafullKumar, Student, IIT Roorkee