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Question: Simplifying a vector expression with composite functions

Question:Simplifying a vector expression with composite functions

PlpPlp 15
simplify
February 13 2013
1

Hi all,


I must confess I'm a perfect novice in Maple as I'm used to work with Matlab. I have a 3d differential equation, namely:


dM/dt+gamma*mu[0]*`&x`(M, H[eff])-G/(gamma*M^2) *`&x`(M, dM/dt)= 0

The components of M should be of the form M_{i0} + dM_i(t) where M_{i0} is a constant and dM_i(t) a function of t, i = 1, 2, 3. And H_eff depends on the components of M. So I defined H_eff as a function of M_1, M_2 and M_3. However, they themselves are functions of the time t.


Since all the definitions are pretty complicated, I'd like to say to Maple: simplify me everything so that in the end, the 3d expression

dM/dt+gamma*mu[0]*`&x`(M, H[eff])-G/(gamma*M^2) *`&x`(M, dM/dt)

consists only of dM_i(t) terms. I tried a lot of things, none of them worked: it never interpret expressions such as dM/dt, and H_eff consists of M_i terms which are not functions of t. Any idea of how I should do that?

Sorry if this is not clear at all...

Thanks in advance!
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