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← Revision 9 as of 2010-08-11 11:02:20 ⇥
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| Deletions are marked like this. | Additions are marked like this. |
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| #unsolved #prob:-7 |
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| d=diff(y,x) + k*y - exp(-k*x) sol=desolve(d,[y,x]) |
sol=desolve(diff(y,x,x) + k*y - exp(-k*x), [y,x]) |
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| # This was a first order differential equation, which was solved by sage. I made it a second order differential eqn (simply by substituting the first order derivative by second order derivative). Sage prompted us "Is k positive,negative or zero" | |
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| * Aashita Kesarwani, Student, IIT Roorkee | * Aashita Kesarwani, Student, IIT Roorkee. * Praveen Kumar, Student, IIT Roorkee * Swati Ahuja,Student,IIT Roorkee |
Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
#unsolved
#prob:-7
x = var('x')
k = var('k')
y = function('y',x)
sol=desolve(diff(y,x,x) + k*y - exp(-k*x), [y,x])
sol
# This was a first order differential equation, which was solved by sage. I made it a second order differential eqn (simply by substituting the first order derivative by second order derivative). Sage prompted us "Is k positive,negative or zero"
Solution by:
- Aashita Kesarwani, Student, IIT Roorkee.
- Praveen Kumar, Student, IIT Roorkee
- Swati Ahuja,Student,IIT Roorkee