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.