       Re: Differential Equation

• To: mathgroup at smc.vnet.net
• Subject: [mg132662] Re: Differential Equation
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Wed, 30 Apr 2014 01:41:15 -0400 (EDT)
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```Did you make any attempt whatsoever to consult the documentation for the proper syntax of DSolve? The correct syntax is

DSolve[{eqn1, eqn2, ...}, y, x]

or

DSolve[{eqn1, eqn2, ...}, y[x], x]

DSolve[{Y'[x] == A*f[x] - B*Y[x], Y[C] == 0}, Y[x], x]

Actually, you should avoid using upper-case letters for your own names, since built-in Mathematica names begin with such. Thus it would be much safer to use:

DSolve[{y'[x] == a f[x] - b y[x], y[c] == 0}, y[x], x]

On Apr 29, 2014, at 1:33 AM, Zohreh <zmmohamadi at gmail.com> wrote:

> I am going to solve the following differential equation:
> dY(x)/dx=A*f(x)-B*Y(x)
>
> In which A and B are some parameters, f(x) is a function of x, and Y(C)=0 (C is a parameter).
>
> I tried to solve it in Mathematica by
> DSolve[Y'[x] == A*f[x] - B*Y[x], Y[C] == 0, x]
>
> But I get the following error
> DSolve::dsfun: "Y[C]==0 cannot be used as a function
>
> I would highly appreciate it if somebody can help me.
>

Murray Eisenberg                                murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 240 246-7240 (H)
University of Massachusetts
710 North Pleasant Street
Amherst, MA 01003-9305

```

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