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Re: Differential equations

• To: mathgroup at smc.vnet.net
• Subject: [mg66781] Re: Differential equations
• From: dh <dh at metrohm.ch>
• Date: Tue, 30 May 2006 05:48:26 -0400 (EDT)
• References: <e56ea3$20t$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Hi Ivan,

A general solution of a differential consists in a family of functions. 

A specific function may belong to several such families or differential 

equations, depending of what you consider the constant of integration.

E.g.

y==3x-2

is be a solution of: y'==3 where we consider 2 to be a constant of 

integration.

On the other hand, y==3x-2 is also a solution to y=y' x -2, where we now 

consider 3 to be the constant of integration.



Daniel



ivan.svaljek at gmail.com wrote:

> Is there a way to 'get' the differential equation whose particular

> solution I have?

> 

> Example:

> For solution

> y=3x-2

> 

> There is an equation

> y=y'x-2

>