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NDSolve and vector functions

• To: mathgroup at smc.vnet.net
• Subject: [mg87843] NDSolve and vector functions
• From: dh <dh at metrohm.ch>
• Date: Fri, 18 Apr 2008 07:10:05 -0400 (EDT)

Hello all,

does anybody know a way to compute a vector valued function using 

NDSolve without explicitely specifying all vector components. Here is a 

simple example: Although NDSolve[{p'[t]==p[t],p[0]=={1,0}},p,{t,0,1}] works,

NDSolve[{p'[t]==p[t]+{1,1},p[0]=={1,0}},p,{t,0,1}]

does not work because p[t] in "p[t]+{1,1}"  is treated as a scalar and 

the expression is evaluated to {1+p[t],1+p[t]} what is clearly not 

intended. Even in "IdentityMatrix[2].p[t]+{1,1}" 

"IdentityMatrix[2].p[t]" is treated like a scalar and added to the 

components of {1,1}.

do I miss something???

Daniel

• Follow-Ups:
  • Re: NDSolve and vector functions
    • From: Carl Woll <carlw@wolfram.com>