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Question: RE: rewriting an expression with substitution

Question:RE: rewriting an expression with substitution

pik1432 245 Maple 2019
substitution duplicate-question
March 16 2021
0

Hello there, 

Would you allow me to ask this (perhaps simple) question?

My goal is to express an equation as 'desired', but with no success with algsubs()/subs()/simplify(). 

Would you please show me the correct way?

 

> 

restart:
> 

PowerBalanceEq := 0 = e1(t) * i1(t) + e2(t) * i2(t) + e3(t) * i3(t);

0 = e1(t)*i1(t)+e2(t)*i2(t)+e3(t)*i3(t)

 (1)
> 

eq_i1 := i1(t) = solve(PowerBalanceEq, i1(t));

i1(t) = -(e2(t)*i2(t)+e3(t)*i3(t))/e1(t)

 (2)
> 

n21eq := n21 = e2(t) / e1(t);

n21 = e2(t)/e1(t)

 (3)
> 

eq_i2 := algsubs(n21eq, eq_i1);

i1(t) = -(e2(t)*i2(t)+e3(t)*i3(t))/e1(t)

 (4)
> 

eq_i3 := subs(n21eq, eq_i1);

i1(t) = -(e2(t)*i2(t)+e3(t)*i3(t))/e1(t)

 (5)
> 

eq_i4 := simplify(eq_i1, {e2(t) / e1(t) = n21});

i1(t) = (-i2(t)*n21*e1(t)-e3(t)*i3(t))/e1(t)

 (6)
> 

desired := i1(t) = -n21*i2(t) - e3(t)*i3(t)/e1(t);

i1(t) = -n21*i2(t)-e3(t)*i3(t)/e1(t)

 (7)
> 

 


Best Regards, 

In Kwon Park 

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