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How to get rid of the ERROR: Warning, solutions may have been lost

April 26, 2018, 3:45 pm
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I am not very familiar with maple.

Kindly help me fix the error.

I want to solve the three equations- eq1, eq2 and eq3 simultaneously by equating to zero, i.e., 

eq1= eq2= eq3= 0, to find the values of the 3 variables t[1], t[2], xi

 

Please help me out with this. It is urgent. 
FINAL2.mw


 

A := 2500;

2500

(1)

alpha := 4

4

(2)

beta := 0.2e-1

0.2e-1

(3)

c := 5

5

(4)

x[w] := 10

10

(5)

x[1] := 8

8

(6)

delta := 5

5

(7)

t[d] := .5

.5

(8)

a := 20

20

(9)

b := 25

25

(10)

theta := .5

.5

(11)

m := theta*(1-exp(-.5*xi))

.5-.5*exp(-.5*xi)

(12)

TC(t[1], t[2], xi) := (A+alpha*((1/2)*a*t[d]^2+(1/3)*a*t[d]^3)+beta*((1/6)*a*t[d]^3+(1/8)*a*t[d]^4)+t[d]*(a/(theta-m)+b*(t[d]-1/(theta-m))/(theta-m)-exp((theta-m)*(t[1]-t[d]))*(a/(theta-m)+b*(t[1]-1/(theta-m))/(theta-m)))-a*(-6*beta*b-(6*(theta-m))*(-a*beta+alpha*b)+6*(theta-m)^2*(a*beta*t[1]+alpha*b*t[d])+3*b*beta*(theta-m)^2*(-t[1]^2+t[d]^2)+6*a*alpha*(theta-m)^2+2*b*beta*(theta-m)^3*(t[1]^3-t[d]^3)+3*a*beta*(theta-m)^3*(t[1]^2-t[d]^2)+3*b*alpha*(theta-m)^3*(t[1]^2-t[d]^2)+6*a*alpha*(theta-m)^3*(t[1]-t[d])+6*exp((theta-m)*(t[1]-t[d]))*((6*(theta-m))*(-a*beta+alpha*b)-6*b*beta*(theta-m)*(t[1]-t[d])-6*((theta-m)^2*(-b*beta*t[1]*t[d]+a*beta*t[d]+alpha*b*t[1]+a*alpha)+beta*b)))/(6*(theta-m)^4)+x[1]*(2*a*t[2]*delta^2+2*b*t[1]*t[2].(delta^2)+b*t[2]*delta-2*a*delta*ln(delta*t[2]+1)-2*b*ln(delta*t[2]+1)-2*b*t[1]*delta*ln(delta*t[2]+1)-2*b*t[2]*delta*ln(delta*t[2]+1)+2*b*t[2]*delta)/(2*delta^2)+x[w]*(2*a*t[2]*delta^2+b*t[2]^2*delta^2+2*b*t[1]*t[2].(delta^2)+2*a*delta*t[2]+2*b*t[2]*delta*ln(1/(delta*t[2]+1))+2*b*ln(1/(delta*t[2]+1))+2*a*delta*ln(1/(delta*t[2]+1))+2*b*t[1]*delta*ln(1/(delta*t[2]+1)))/(2*delta^3)+c*(a*t[d]+(1/2)*b*t[d]^3+a/(theta-m)+b*(t[d]-1/(theta-m))/(theta-m)-exp((theta-m)*(t[1]-t[d]))*(a/(theta-m)+b*(t[1]-1/(theta-m))/(theta-m))-a*ln(1/(delta*t[2]+1))/delta-b*(1+delta*(t[1]+t[2]))*ln(delta*t[2]+1)/delta^2-b*t[2]/delta))/(t[1]+t[2])

(2571.157291+220.0000000/exp(-.5*xi)+275.0000000*(.5-2.000000000/exp(-.5*xi))/exp(-.5*xi)-5.5*exp(.5*exp(-.5*xi)*(t[1]-.5))*(40.00000000/exp(-.5*xi)+50.00000000*(t[1]-2.000000000/exp(-.5*xi))/exp(-.5*xi))-53.33333334*(-3.00-298.800*exp(-.5*xi)+1.50*(exp(-.5*xi))^2*(.40*t[1]+50.0)+.3750*(exp(-.5*xi))^2*(-t[1]^2+.25)+120.00*(exp(-.5*xi))^2+.12500*(exp(-.5*xi))^3*(t[1]^3-.125)+37.65000*(exp(-.5*xi))^3*(t[1]^2-.25)+60.000*(exp(-.5*xi))^3*(t[1]-.5)+6*exp(.5*exp(-.5*xi)*(t[1]-.5))*(298.800*exp(-.5*xi)-1.500*exp(-.5*xi)*(t[1]-.5)-1.50*(exp(-.5*xi))^2*(99.750*t[1]+80.200)-3.00))/(exp(-.5*xi))^4+243*t[2]+250*t[1]*t[2]-40*ln(5*t[2]+1)-40*t[1]*ln(5*t[2]+1)-40*t[2]*ln(5*t[2]+1)+25*t[2]^2+10*t[2]*ln(1/(5*t[2]+1))-10*ln(1/(5*t[2]+1))+10*t[1]*ln(1/(5*t[2]+1))-5*(1+5*t[1]+5*t[2])*ln(5*t[2]+1))/(t[1]+t[2])

(13)

``

``

eq1 := diff(TC(t[1], t[2], xi), t[1]) = 0

-(2571.157291+220.0000000/exp(-.5*xi)+275.0000000*(.5-2.000000000/exp(-.5*xi))/exp(-.5*xi)-5.5*exp(.5*exp(-.5*xi)*(t[1]-.5))*(40.00000000/exp(-.5*xi)+50.00000000*(t[1]-2.000000000/exp(-.5*xi))/exp(-.5*xi))-53.33333334*(-3.00-298.800*exp(-.5*xi)+1.50*(exp(-.5*xi))^2*(.40*t[1]+50.0)+.3750*(exp(-.5*xi))^2*(-t[1]^2+.25)+120.00*(exp(-.5*xi))^2+.12500*(exp(-.5*xi))^3*(t[1]^3-.125)+37.65000*(exp(-.5*xi))^3*(t[1]^2-.25)+60.000*(exp(-.5*xi))^3*(t[1]-.5)+6*exp(.5*exp(-.5*xi)*(t[1]-.5))*(298.800*exp(-.5*xi)-1.500*exp(-.5*xi)*(t[1]-.5)-1.50*(exp(-.5*xi))^2*(99.750*t[1]+80.200)-3.00))/(exp(-.5*xi))^4+243*t[2]+250*t[1]*t[2]-40*ln(5*t[2]+1)-40*t[1]*ln(5*t[2]+1)-40*t[2]*ln(5*t[2]+1)+25*t[2]^2+10*t[2]*ln(1/(5*t[2]+1))-10*ln(1/(5*t[2]+1))+10*t[1]*ln(1/(5*t[2]+1))-5*(1+5*t[1]+5*t[2])*ln(5*t[2]+1))/(t[1]+t[2])^2+(-2.75*exp(-.5*xi)*exp(.5*exp(-.5*xi)*(t[1]-.5))*(40.00000000/exp(-.5*xi)+50.00000000*(t[1]-2.000000000/exp(-.5*xi))/exp(-.5*xi))-275.0000000*exp(.5*exp(-.5*xi)*(t[1]-.5))/exp(-.5*xi)-53.33333334*(.6000*(exp(-.5*xi))^2-.7500*(exp(-.5*xi))^2*t[1]+.37500*(exp(-.5*xi))^3*t[1]^2+75.30000*(exp(-.5*xi))^3*t[1]+60.000*(exp(-.5*xi))^3+3.0*exp(-.5*xi)*exp(.5*exp(-.5*xi)*(t[1]-.5))*(298.800*exp(-.5*xi)-1.500*exp(-.5*xi)*(t[1]-.5)-1.50*(exp(-.5*xi))^2*(99.750*t[1]+80.200)-3.00)+6*exp(.5*exp(-.5*xi)*(t[1]-.5))*(-1.500*exp(-.5*xi)-149.62500*(exp(-.5*xi))^2))/(exp(-.5*xi))^4+250*t[2]-65*ln(5*t[2]+1)+10*ln(1/(5*t[2]+1)))/(t[1]+t[2]) = 0

(14)

eq2 := diff(TC(t[1], t[2], xi), t[2]) = 0

-(2571.157291+220.0000000/exp(-.5*xi)+275.0000000*(.5-2.000000000/exp(-.5*xi))/exp(-.5*xi)-5.5*exp(.5*exp(-.5*xi)*(t[1]-.5))*(40.00000000/exp(-.5*xi)+50.00000000*(t[1]-2.000000000/exp(-.5*xi))/exp(-.5*xi))-53.33333334*(-3.00-298.800*exp(-.5*xi)+1.50*(exp(-.5*xi))^2*(.40*t[1]+50.0)+.3750*(exp(-.5*xi))^2*(-t[1]^2+.25)+120.00*(exp(-.5*xi))^2+.12500*(exp(-.5*xi))^3*(t[1]^3-.125)+37.65000*(exp(-.5*xi))^3*(t[1]^2-.25)+60.000*(exp(-.5*xi))^3*(t[1]-.5)+6*exp(.5*exp(-.5*xi)*(t[1]-.5))*(298.800*exp(-.5*xi)-1.500*exp(-.5*xi)*(t[1]-.5)-1.50*(exp(-.5*xi))^2*(99.750*t[1]+80.200)-3.00))/(exp(-.5*xi))^4+243*t[2]+250*t[1]*t[2]-40*ln(5*t[2]+1)-40*t[1]*ln(5*t[2]+1)-40*t[2]*ln(5*t[2]+1)+25*t[2]^2+10*t[2]*ln(1/(5*t[2]+1))-10*ln(1/(5*t[2]+1))+10*t[1]*ln(1/(5*t[2]+1))-5*(1+5*t[1]+5*t[2])*ln(5*t[2]+1))/(t[1]+t[2])^2+(243+250*t[1]-150/(5*t[2]+1)-250*t[1]/(5*t[2]+1)-65*ln(5*t[2]+1)-250*t[2]/(5*t[2]+1)+50*t[2]+10*ln(1/(5*t[2]+1))-25*(1+5*t[1]+5*t[2])/(5*t[2]+1))/(t[1]+t[2]) = 0

(15)

eq3 := diff(TC(t[1], t[2], xi), xi) = 0

(110.0000000/exp(-.5*xi)+137.5000000*(.5-2.000000000/exp(-.5*xi))/exp(-.5*xi)-275.0000000/(exp(-.5*xi))^2+1.375*exp(-.5*xi)*(t[1]-.5)*exp(.5*exp(-.5*xi)*(t[1]-.5))*(40.00000000/exp(-.5*xi)+50.00000000*(t[1]-2.000000000/exp(-.5*xi))/exp(-.5*xi))-5.5*exp(.5*exp(-.5*xi)*(t[1]-.5))*(20.00000000/exp(-.5*xi)+25.00000000*(t[1]-2.000000000/exp(-.5*xi))/exp(-.5*xi)-50.00000000/(exp(-.5*xi))^2)-106.6666667*(-3.00-298.800*exp(-.5*xi)+1.50*(exp(-.5*xi))^2*(.40*t[1]+50.0)+.3750*(exp(-.5*xi))^2*(-t[1]^2+.25)+120.00*(exp(-.5*xi))^2+.12500*(exp(-.5*xi))^3*(t[1]^3-.125)+37.65000*(exp(-.5*xi))^3*(t[1]^2-.25)+60.000*(exp(-.5*xi))^3*(t[1]-.5)+6*exp(.5*exp(-.5*xi)*(t[1]-.5))*(298.800*exp(-.5*xi)-1.500*exp(-.5*xi)*(t[1]-.5)-1.50*(exp(-.5*xi))^2*(99.750*t[1]+80.200)-3.00))/(exp(-.5*xi))^4-53.33333334*(149.4000*exp(-.5*xi)-1.500*(exp(-.5*xi))^2*(.40*t[1]+50.0)-.37500*(exp(-.5*xi))^2*(-t[1]^2+.25)-120.000*(exp(-.5*xi))^2-.187500*(exp(-.5*xi))^3*(t[1]^3-.125)-56.475000*(exp(-.5*xi))^3*(t[1]^2-.25)-90.0000*(exp(-.5*xi))^3*(t[1]-.5)-1.50*exp(-.5*xi)*(t[1]-.5)*exp(.5*exp(-.5*xi)*(t[1]-.5))*(298.800*exp(-.5*xi)-1.500*exp(-.5*xi)*(t[1]-.5)-1.50*(exp(-.5*xi))^2*(99.750*t[1]+80.200)-3.00)+6*exp(.5*exp(-.5*xi)*(t[1]-.5))*(-149.4000*exp(-.5*xi)+.7500*exp(-.5*xi)*(t[1]-.5)+1.500*(exp(-.5*xi))^2*(99.750*t[1]+80.200)))/(exp(-.5*xi))^4)/(t[1]+t[2]) = 0

(16)

``       

solve({eq1, eq2, eq3}, {xi, t[1], t[2]})

Warning, solutions may have been lost

 

 

``

``

``

 

``

``

``

``

 

 

 

``

solve({eq1, eq2, eq3}, {xi, t[1], t[2]});

Warning, solutions may have been lost
 

Download FINAL2.mw


           

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