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Editor: Aashita
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Editor: Aashita
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Deletions are marked like this. Additions are marked like this.
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solve(pde,c) print solve(pde,c)
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plot3d(lambda x, t: x^2 + t^2, (-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=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

SageDays/Kreyszig-11.1-2 (last edited 2010-08-12 09:42:22 by Aashita)