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Finding solutions to differential eqns

• To: mathgroup at smc.vnet.net
• Subject: [mg40091] Finding solutions to differential eqns
• From: davidol at hushmail.com (David)
• Date: Thu, 20 Mar 2003 03:32:42 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Is there a method where you can get Mathematica to find general
solutions for differential equations?  For example:

[2xt(1 + t)]dx/dt = 1 + x^2

dx/dt = (t/x)e^(-x/t) + x/t

and

dx/dt = (t - 4)e^4t + tx

I have access to version 4.0

Cheers,

David