Re: Finding solutions to differential eqns

*To*: mathgroup at smc.vnet.net*Subject*: [mg40111] Re: Finding solutions to differential eqns*From*: bobhanlon at aol.com (Bob Hanlon)*Date*: Fri, 21 Mar 2003 02:36:27 -0500 (EST)*References*: <b5bjbn$5qp$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

eqn = 2*x[t]*t*(1+t)*x'[t]==1+x[t]^2; soln = DSolve[eqn, x[t], t]//Flatten // Simplify eqn /. ({#, D[#,t]}& /@ soln) // Simplify eqn = x'[t] == (t/x[t])*Exp[-x[t]/t]+x[t]/t soln = DSolve[eqn, x[t], t] // Flatten eqn /. ({#, D[#,t]}& /@ soln) // Simplify eqn = x'[t] == (t-4)*Exp[4*t]+t*x[t]; soln = DSolve[eqn, x[t], t]//Flatten // Simplify eqn /. ({#, D[#,t]}& /@ soln) // Simplify Bob Hanlon In article <b5bjbn$5qp$1 at smc.vnet.net>, davidol at hushmail.com (David) wrote: << Subject: Finding solutions to differential eqns From: davidol at hushmail.com (David) To: mathgroup at smc.vnet.net Date: Thu, 20 Mar 2003 05:25:11 +0000 (UTC) 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 >><BR><BR>