RE: Solving a DE using Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg90454] RE: [mg90424] Solving a DE using Mathematica
- From: "Tony Harker" <a.harker at ucl.ac.uk>
- Date: Thu, 10 Jul 2008 06:32:55 -0400 (EDT)
You are setting off at a disadvantage by using a Real (0.016) in the equation. If you replace this with 16/1000 and hit the result of the back-substitution with FullSimplify you'll get confirmation of your solution (Mathematica 6.0.3.0). Tony Harker ]-> -----Original Message----- ]-> From: Greg [mailto:starwar636 at aol.com] ]-> Sent: 09 July 2008 09:52 ]-> To: mathgroup at smc.vnet.net ]-> Subject: [mg90424] Solving a DE using Mathematica ]-> ]-> I'm having problems solving this problem although it should ]-> appear pretty straightfoward: ]-> ]-> (-l^2 - m^2 + n^2/(r + 0.016 z)^2) Z[z] + Z''[z] == 0 ]-> ]-> I am solving for Z[z]. These are the lines I use: ]-> ]-> DSolve[Above Equation, Z[z], z] ]-> ]-> I get an odd solution so I do a solution check plugging ]-> back in Z[z] and Z''[z] yet I don't get 0. In the above, ]-> l,m,n,r are all constants. ]-> ]->