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RE: Why No Solution Using Solve?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33911] RE: [mg33902] Why No Solution Using Solve?
  • From: "DrBob" <majort at cox-internet.com>
  • Date: Tue, 23 Apr 2002 07:13:20 -0400 (EDT)
  • Reply-to: <drbob at bigfoot.com>
  • Sender: owner-wri-mathgroup at wolfram.com

Part of the answer is in the Help for Solve:

"Solve gives generic solutions only.  It discards solutions that are
valid only when the parameters satisfy special conditions. Reduce gives
the complete set of solutions."

The system has no generic solutions.  However, if you specify that Solve
should eliminate {a1, m1} (Solve's third parameter) you get two
solutions, with Cr1 and w in terms of s and the other parameters.

Bobby Treat

-----Original Message-----
From: Tom Compton [mailto:comptont at concentric.net] 
To: mathgroup at smc.vnet.net
Subject: [mg33911] [mg33902] Why No Solution Using Solve?

Why doesn't this give a solution?

Solve[{
m1 a1 == P1/ v1 - A1 Rho Cd (v1 + w)^2 /2 - m1 g Cr1 - m1 g S,
m2 a2 == P2/ v2 - A2 Rho Cd (v2 + w)^2 /2 - m2 g Cr1 - m2 g S,
m3 a3 == P3/ v3 - A3 Rho Cd (v3 + w)^2 /2 - m3 g Cr1 - m3 g S},
{Cr1, S, w}
]







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