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Question: Re: How to collect using a term by multiplication of variables

Question:Re: How to collect using a term by multiplication of variables

pik1432 245 Maple 2022
multiplication syntax collect simplification
June 02 2022
1

Hello there, 

Would you allow me to ask this question?

Is there any way to apply 'collect' command using a term by multiplication of variables?

The following worksheet shows an example. What I wanted to see is the 'desired' expression, while multiple attempts with 'collect' command failed. 


 

> 

restart;
> 

eq_e5_10z := Psi[q0]*Delta*delta = 1/(omega[0])*p(Delta*Psi[q])+Delta*Psi[d]+Psi[d0]*1/(omega[0])*p(Delta*delta);

Psi[q0]*Delta*delta = p(Delta*Psi[q])/omega[0]+Delta*Psi[d]+Psi[d0]*p(Delta*delta)/omega[0]

 (1)
> 

eq_e5_10za := Delta*Psi[d] = Psi[q0]*Delta*delta - op(1, rhs(eq_e5_10z)) - op(3, rhs(eq_e5_10z));

Delta*Psi[d] = Psi[q0]*Delta*delta-p(Delta*Psi[q])/omega[0]-Psi[d0]*p(Delta*delta)/omega[0]

 (2)
> 

eq_e5_10zb := subs({p(Delta*Psi[q])=0}, eq_e5_10za);

Delta*Psi[d] = Psi[q0]*Delta*delta-Psi[d0]*p(Delta*delta)/omega[0]

 (3)
> 

collect(rhs(eq_e5_10zb), {Delta*delta});# error

Error, (in collect) cannot collect Delta*delta

  
> 

collect(rhs(eq_e5_10zb), [Delta*delta]);# error

Error, (in collect) cannot collect Delta*delta

  
> 

collect(rhs(eq_e5_10zb), [Delta, delta]);# did not work  

Psi[q0]*Delta*delta-Psi[d0]*p(Delta*delta)/omega[0]

 (4)
> 

Desired := (psi__q0 - psi__d0*p/omega__0)*(Delta*delta);

(psi__q0-psi__d0*p/omega__0)*Delta*delta

 (5)
> 

 


 

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