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How do I get a DSolve'd function

• To: mathgroup at smc.vnet.net
• Subject: [mg54384] How do I get a DSolve'd function
• From: skirmantas.janusonis at yale.edu (Skirmantas)
• Date: Sat, 19 Feb 2005 02:33:01 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

I hope this is the last question for now.

I can solve a differential equation and plot it by doing something
like this:

sol=DSolve[{f'[x]==-3f[x],f[0]==10},f,x]
Plot[f/.sol,{x,0,10}]

But how do I get the function f[x] itself? I want to be able to input
f[x] and get its definition. Or do Plot[f[x],{x,0,10}]. Or define
y[x_]:=f[x]^2.

f[x]/.sol or f[x_]:=f[x]/.sol or f[x_]:=sol[[n,n,n]] do not work.

What if the solution is a function with many variables, say u[x,y,z]?
What's the correct way to "get" it?  

• Follow-Ups:
  • Re: How do I get a DSolve'd function
    • From: DrBob <drbob@bigfoot.com>
  • Re: How do I get a DSolve'd function
    • From: Chris Chiasson <chris.chiasson@gmail.com>