two equations, need solve symbolically in Mupad for a variable and getting errors

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Danielle Strong
Danielle Strong 2015-12-13
编辑： Walter Roberson 2015-12-13
I have two equations:
RA := (KA1-bA1*pA1+aB1*pB1)*(pA1)-YA1*[KA1-bA1*pA1+aB1*pB1]^2
RB := (KB1-bB1*pB1+aA1*pA1)*(pB1)-YB1*[KB1-bB1*pB1+aA1*pA1]^2
and I need a closed form solution for pA1 and pB1, symbolically. I have tried various solve commands in which I get an error "equation is an unknown type" and if I try linsolve I get that the equations are not linear. I am not sure how to go about this. I feel like it should be simple.

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回答（1 个）

Walter Roberson
Walter Roberson 2015-12-13
编辑：Walter Roberson 2015-12-13
Do not use [] for brackets: it means list-building.
RA := (aB1*pB1-bA1*pA1+KA1)*pA1-YA1*(aB1*pB1-bA1*pA1+KA1)^2;
RB := (aA1*pA1-bB1*pB1+KB1)*pB1-YB1*(aA1*pA1-bB1*pB1+KB1)^2;
solve([RA,RB],[pA1,pB1])
there are 4 solutions that are not complicated.
Possibly though what you mean is
eqn1 := RA = (aB1*pB1-bA1*pA1+KA1)*pA1-YA1*(aB1*pB1-bA1*pA1+KA1)^2;
eqn2 := RB = (aA1*pA1-bB1*pB1+KB1)*pB1-YB1*(aA1*pA1-bB1*pB1+KB1)^2;
solve([eqn1, eqn2], [pA1,pB1])
The solutions to this are complicated, involving quartics

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