solve 3 nonlinear equation symbolic

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mojan marghoub shadkar
mojan marghoub shadkar on 26 Jul 2021
Hi,
I want to find the variable Fw,Fi,Fr for following equations. I do not have the value for the other parameters , so I want to solve it as a symbolic equation, but when I use the solve funciton matlab gave me a this error " Unable to find explicit solution".
The goal is find fi fw fr symbolic.
My equations are
%
syms vr vw vi dw di dr d m n w v r rw vp1 vp2 va a
syms fi fw fr
eq1=-v+(-(((vr^2)*(vw^2)*(vi^2)*dw*di*dr)/(d*((vr^2)*(dr)*((1-fr))*((fw/(1-fr))-1)*(dw)*(vw^2))-((fw/(1-fr))*di*(vi^2)))+(di*dw*(vw^2)*(vi^2)*(1-fr))-(di*dw*(vw^2)*(vi^2)))*(vr*vw*vi)/((-(fw/(1-fr))*vw)+((fw/(1-fr))*vi)+(vw))*(vr*(1-fr))+(vw*vi*(-(1-fr)))+(vw*vi))/(((1-fr)*(vr*vw*vi)/((-(fw/(1-fr))*vw)+((fw/(1-fr))*vi)+(vw))*(vr*(1-fr))+(vw*vi*(-(1-fr)))+(vw*vi)*w*((fw/(1-fr))^n))-((1-fr)*-(((vr^2)*(vw^2)*(vi^2)*dw*di*dr)/(d*((vr^2)*(dr)*((1-fr))*((fw/(1-fr))-1)*(dw)*(vw^2))-((fw/(1-fr))*di*(vi^2)))+(di*dw*(vw^2)*(vi^2)*(1-fr))-(di*dw*(vw^2)*(vi^2)))*w*((fw/(1-fr))^n))+-(((vr^2)*(vw^2)*(vi^2)*dw*di*dr)/(d*((vr^2)*(dr)*((1-fr))*((fw/(1-fr))-1)*(dw)*(vw^2))-((fw/(1-fr))*di*(vi^2)))+(di*dw*(vw^2)*(vi^2)*(1-fr))-(di*dw*(vw^2)*(vi^2))));
eq2=(rw)*((1-fr)^(-m))*((fw/1-fr)^(-n))-r;
eq3=fr+fw+fi-1;
s= solve(eq1,eq2,eq3,fw,fi,fr,'ReturnConditions', true)
Thanks

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