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Question: Re: How to treat differentiaion operator as a coefficient

Question:Re: How to treat differentiaion operator as a coefficient

pik1432 245 Maple 2020
differentiation operator
April 04 2022
3

Hello all, 

Would you allow me to ask this one question?
[moderator: See also this previous question]

Is there any possible way to treat the differentiation operator (e.g., 'D') as an ordinary coefficient of a polynomial?

For example, as described in the attached worksheet, I was wondering if there is a way to re-write the LHS of the expression 'eq_e5_9b' as the expression 'desired'. 

In Kwon Park 

> 

restart;
> 

with(DEtools):
> 

eq_e5_9b := psi__d0*Delta__delta(t) + psi__q0 * D(Delta__delta(t))/omega__0 = p_(Delta__psi__d(t))/omega__0 - Delta__psi__q(t);

psi__d0*Delta__delta(t)+psi__q0*D(Delta__delta(t))/omega__0 = p_(Delta__psi__d(t))/omega__0-Delta__psi__q(t)

 (1)
> 

collect(lhs(eq_e5_9b), Delta__delta(t));

psi__d0*Delta__delta(t)+psi__q0*D(Delta__delta(t))/omega__0

 (2)
> 

desired := Delta__delta(t) * (psi__d0 + psi__q0 * D/omega__0);

Delta__delta(t)*(psi__d0+psi__q0*D/omega__0)

 (3)
> 

 

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