different solutions NDSolve/ DSolve
- To: mathgroup at smc.vnet.net
- Subject: [mg126977] different solutions NDSolve/ DSolve
- From: Narasimham <mathma18 at hotmail.com>
- Date: Thu, 21 Jun 2012 05:20:33 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
Not able to find error in the closed form solutions. Integration Conditions or arguments may need to be changed. Please help Regards Narasimham Clear[tmax]; DSolve[Z'[t]==Sqrt[(tmax^2-t^2)/(t^2+1)],Z,t] tmax=2. gclosed=Plot[tmax*EllipticE[ArcSinh[t],-(1/tmax^2)],{t,0,tmax}] ; gTrigHyp=Plot[tmax*EllipticE[ArcSin[t],-(1/tmax^2)],{t,0,tmax}] ; NDSolve[{Z'[t]==Sqrt[(tmax^2-t^2)/(t^2+1)],Z[0]==0},Z,{t,0,tmax}]; z[t_]=Z[t]/.First[%];gnumeric=Plot[z[t],{t,0,tmax}, PlotStyle- >{Red,Thick}] ; Show[gclosed,gTrigHyp,gnumeric]