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Re: Solving the differential equation
*To*: mathgroup at smc.vnet.net
*Subject*: [mg65490] Re: [mg65472] Solving the differential equation
*From*: "David Park" <djmp at earthlink.net>
*Date*: Wed, 5 Apr 2006 06:55:30 -0400 (EDT)
*Sender*: owner-wri-mathgroup at wolfram.com
You could do the following.
Clear[y]
y[f_][x_] = y[x] /. First@DSolve[y'[x] == f[x], y, x]
C[1] + Integrate[f[K$86], {K$86, 1, x}]
f has been defined as a parameter for the y function. It can be entered as
the name of a predefined function or as a pure function.
y[Sin][x]
C[1] + Cos[1] - Cos[x]
y[#^2 &][x]
-(1/3) + x^3/3 + C[1]
David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/
From: Subbu [mailto:subbaraokommuri at gmail.com]
To: mathgroup at smc.vnet.net
Hi,
Can you please tell me the answer for the fallowing
Suppose I am solving a Differential eqn like
DSolve[y`[x]==f[x],y,x]
Suppose, I dont know the form of f[x] while solving the equation but
mathematica is giving some solution. After obtaining that solution
suppose if I know the form of f[x] how can I get the solution for 'y'
as a function of x.
Thank you.
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