solución de ecuación con 3 incógnitas
Publicado por camila rolon (1 intervención) el 25/10/2014 05:09:18
buens tardes,
quiciera recibir una ayuda:
tengo estas ecuaciones
ec1='K=(W1^2 - W2^2)/((W2^2 -W1^2)+(C1^2-C2^2))';
ec2='W1=sqrt((Cx^2)+((U-ct1)^2))';
ec3='C1=sqrt((Cx^2)+((ct1)^2))';
[W1,C1,ct1]=solve(ec1,ec2,ec3,'W1,C1,ct1')
pero al correr el programa, la respuesta no es el valor de las incógnitas, sale esto:
W1 =
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
C1 =
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
ct1 =
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 - 2*K*U*(- C2^2)
agradezco mucho, si puede ayudarme
quiciera recibir una ayuda:
tengo estas ecuaciones
ec1='K=(W1^2 - W2^2)/((W2^2 -W1^2)+(C1^2-C2^2))';
ec2='W1=sqrt((Cx^2)+((U-ct1)^2))';
ec3='C1=sqrt((Cx^2)+((ct1)^2))';
[W1,C1,ct1]=solve(ec1,ec2,ec3,'W1,C1,ct1')
pero al correr el programa, la respuesta no es el valor de las incógnitas, sale esto:
W1 =
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
-(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))^(1/2)
C1 =
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
-((K*U^2 + 2*K^2*U^2 + K*(K*U^2 - C2^2*K + K*W2^2 + W2^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2)) - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/K)^(1/2)
ct1 =
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 + 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 - 2*K*U*(- C2^2*K - Cx^2 + K^2*U^2 + K*U^2 + K*W2^2 + W2^2)^(1/2))/(2*K*U)
(2*K*U^2 + 2*K^2*U^2 - 2*K*U*(- C2^2)
agradezco mucho, si puede ayudarme
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