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#1 2008-12-13 22:45:10
- eluru
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- Registered: 2008-11-02
- Posts: 7
plzz helpme out solutions of differential equations.
Steps involved in Solving the differential Equations.
d2 X/dx2-λ2X = 0.
&
d2 T/dt2-(λ2v2)T = 0.
Last edited by eluru (2008-12-14 16:52:23)
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#2 2008-12-13 23:51:31
- luca-deltodesco
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- Registered: 2006-05-05
- Posts: 1,470
Re: plzz helpme out solutions of differential equations.
are those meant to be:
i'm not entirely sure from how you've written them
Last edited by luca-deltodesco (2008-12-13 23:52:29)
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The End Of All Things To Come.
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#3 2008-12-14 16:53:32
- eluru
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- Registered: 2008-11-02
- Posts: 7
Re: plzz helpme out solutions of differential equations.
i,hve edited the above equations ...
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#4 2008-12-14 19:45:57
- Ricky
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- Registered: 2005-12-04
- Posts: 3,791
Re: plzz helpme out solutions of differential equations.
This looks like an eigenvalue-eigenfunction problem, but those usually have boundary conditions imposed on them.
In any case, I'm assuming lambda to be a positive real number, in which case you solve this the same as any other 2nd order differential equation with constant coefficients:
Solve for r, then use the proper form for the solution.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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