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⇤ ← Revision 1 as of 2010-08-12 09:04:02
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| solve(pde,c) # Verification of solution | print solve(pde,c) # Verification of solution |
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| plot3d(lambda x, t:exp(-t)*sin(x) , (-2,2), (-2,2)) |
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=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))
Solution by:
- Aashita Kesarwani, Student, IIT Roorkee
- Snehal Mitragotri, Ex-student, IIT Roorkee'
Tale PrafullKumar, Student, IIT Roorkee