Solving for a function in an Integral
- To: mathgroup at smc.vnet.net
- Subject: [mg40790] Solving for a function in an Integral
- From: "Steven Clarke" <clarkesm at earthlink.net>
- Date: Thu, 17 Apr 2003 03:36:41 -0400 (EDT)
- Reply-to: "Steven Clarke" <clarkesm at earthlink.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi all I'm wondering if there is a way to solve for a function within an integral. Specificly, I have something like this: d[x] == Integrate[Sin[x + m[t]],t] so I have function d, dependent on x, which is equal to the integral of sin[x + m[t]] with respect to t, when m[t] is a function of t. It looks sort of like a differential equation, but not really, and DSolve didn't like it. I thought about taking the derivative of both sides with respect to t, but then the d[x] just goes completely away, and that can't work. Is this problem mathmatically possible, and if so, what kind of problem is it (ie, ODE, Partial Differential Equations, something else) so I can go look up a book on those types of problems, and finally, can Mathmatica solve this type of problem? Thanks Steve