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← Revision 3 as of 2010-12-18 10:53:44 ⇥
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| Deletions are marked like this. | Additions are marked like this. |
| Line 8: | Line 8: |
| y=var('y') | automatic_names('true') |
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| dy=diff(y,x,3)+9*diff(y,x,2)+27*diff(y,x,1)+27*y==0 desolve_laplace(dy,y,x) |
d=diff(y,x,3)-diff(y,x,2)+100*diff(y,x,1)-100*y==0 desolve_laplace(d,[y,x],ics=(0,4,11,22)) |
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| 9/2*x^2*e^(-3*x)*y(0) + 3*x^2*e^(-3*x)*D[0](y)(0) + 1/2*x^2*e^(-3*x)*D[0, 0](y)(0) + 1/2*(3*y(0) + D[0](y)(0))*x*e^(-3*x) + 3/2*x*e^(-3*x)*y(0) + 1/2*x*e^(-3*x)*D[0](y)(0) + e^(-3*x)*y(0) |
422/101*e^x + 689/1010*sin(10*x) - 18/101*cos(10*x) |
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| * <Your Name>, <Profession>, <Organization> * <Your Name>, <Profession>, <Organization> |
* <santosh>, <student>, <snsit> |
Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
automatic_names('true')
y=function('y',x)
d=diff(y,x,3)-diff(y,x,2)+100*diff(y,x,1)-100*y==0
desolve_laplace(d,[y,x],ics=(0,4,11,22))
sol:
422/101*e^x + 689/1010*sin(10*x) - 18/101*cos(10*x)
Solution by:
<santosh>, <student>, <snsit>