       Series Expansions in Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg129871] Series Expansions in Mathematica
• From: Samuel Mark Young <sy81 at sussex.ac.uk>
• Date: Tue, 19 Feb 2013 18:53:54 -0500 (EST)
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• Delivered-to: l-mathgroup@wolfram.com
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```Hello,
I am attempting to expand an equation, and then solve the 1st, 2nd, 3rd, 4th and 5th order expressions one at a time.

The equation is:

Exp[4 x] - c Exp[3 y] Exp[4 x] + c - 1 = 0

With, x and y small variables to be expanded and c a constant. Once this is expanded, the variables x and y are in turn replaced with expansions written as:

x = x + x/2 + x/6 + x/24 + x/120 (to 5th order)

By the time I have completed these expansions, I have a somewhat long expression. Does Mathematica have an intelligent way of deciding which terms would be 1st/2nd/etc order? For example, x y and x^2 y would both be third order.

Many thanks,
Sam Young

```

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