goodname
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Is there any software packages available to solve Differential equations(first order and second order)? This will be great help for me.
Solving Differential equations
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Try math software like maxima (free!), mathematica, maple, matlab,... All of these can solve differential equations!
jhae2.718
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Or Wolfram|Alpha...
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* Hitting myself for forgetting wolfram alpha *
jhae2.718
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Well, Wolfram|Alpha is locally isomorphic to Mathematica. 
dalcde
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jhae2.718 said:Well, Wolfram|Alpha is locally isomorphic to Mathematica.
"locally isomorphic"! I like that one!