Question

matlab 参数方程组

请教各位大侠，我想解用matlab解一个参数方程组：
TI=-K*KC*TC*TC/(T+K*KC*Q);
KC=(2*TC+TI)/(K*TI-K*Q);
其中，TI、KC是未知量；K,T,Q,TC是已知量。
不知道用MATLAB怎么编？

Answer 1

>> [TI,KC]=solve('TI=-K*TC*TC*KC/(T+K*Q*KC)','KC=(2*TC+TI)/(K*TI-K*Q)','TI,KC');
>> TI

TI =

((Q*(2*Q*TC - Q*T + (Q^2*T^2 - 4*Q^2*T*TC + 4*Q^2*TC^2 - 2*Q*T*TC^2 - 4*Q*TC^3 - 8*T*TC^3 + TC^4)^(1/2) + TC^2))/(2*Q + 2*T) - 2*Q*TC + (T*(2*Q*TC - Q*T + (Q^2*T^2 - 4*Q^2*T*TC + 4*Q^2*TC^2 - 2*Q*T*TC^2 - 4*Q*TC^3 - 8*T*TC^3 + TC^4)^(1/2) + TC^2))/(2*Q + 2*T))/(K*Q^2 + K*TC^2)
-(2*Q*TC + (Q*(Q*T - 2*Q*TC + (Q^2*T^2 - 4*Q^2*T*TC + 4*Q^2*TC^2 - 2*Q*T*TC^2 - 4*Q*TC^3 - 8*T*TC^3 + TC^4)^(1/2) - TC^2))/(2*Q + 2*T) + (T*(Q*T - 2*Q*TC + (Q^2*T^2 - 4*Q^2*T*TC + 4*Q^2*TC^2 - 2*Q*T*TC^2 - 4*Q*TC^3 - 8*T*TC^3 + TC^4)^(1/2) - TC^2))/(2*Q + 2*T))/(K*Q^2 + K*TC^2)

>> KC

KC =

-(2*Q*TC - Q*T + (Q^2*T^2 - 4*Q^2*T*TC + 4*Q^2*TC^2 - 2*Q*T*TC^2 - 4*Q*TC^3 - 8*T*TC^3 + TC^4)^(1/2) + TC^2)/(2*Q + 2*T)
(Q*T - 2*Q*TC + (Q^2*T^2 - 4*Q^2*T*TC + 4*Q^2*TC^2 - 2*Q*T*TC^2 - 4*Q*TC^3 - 8*T*TC^3 + TC^4)^(1/2) - TC^2)/(2*Q + 2*T)

>>