Solve three non linear equations.
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I want to solve the following equations in MAXIMA, but my system runs out of memory. Is it possible to solve these symbolic equations.
exp1=(2*beta4^2+2*beta3^2+2*beta2^2)*d^2*z1^2+( (4*alpha4*beta4+4*alpha3*beta3+4*alpha2*beta2)*d^2*y1+4*beta4*d^2*gamma4+4*beta3*d^2*gamma3+4* beta2*d^2*gamma2)*z1+(2*alpha4^2+2*alpha3^2+2*alpha2^2)*d^2*y1^2+ (4*alpha4*d^2*gamma4+4*alpha3*d^2*gamma3+4*alpha2*d^2*gamma2)*y1+l2^2-l1^2+2*d^2*gamma4^2+2*d^2* gamma3^2+2*d^2*gamma2^2
exp2=zp^2-2*z1*zp+(beta1^2+1)*z1^2+(2*alpha1*beta1*y1-2*beta1*xp+2*beta1*gamma1)*z1+yp^2 -2*y1*yp+(alpha1^2+1)*y1^2+(2*alpha1*gamma1-2*alpha1*xp)*y1+xp^2-2*gamma1*xp-l1^2+gamma1^2
exp3=(-4*beta4*d*z1-4*alpha4*d*y1-4*d*gamma4)*zp+(4*beta4+4*beta1*beta2)*d*z1^2+(-4* beta3*d*yp+(4*beta3+4*alpha1*beta2+4*alpha2*beta1+4*alpha4)*d*y1-4*beta2*d*xp+4*d*gamma4+4* beta1*d*gamma2+4*beta2*d*gamma1)*z1+(-4*alpha3*d*y1-4*d*gamma3)*yp+(4*alpha3+4*alpha1*alpha2)* d*y1^2+(-4*alpha2*d*xp+4*d*gamma3+4*alpha1*d*gamma2+4*alpha2*d*gamma1)*y1-4*d*gamma2*xp-3*l2^2+ 3*l1^2+4*d*gamma1*gamma2
Can anyone please help solve them to get an expression for y1 and z1?
回答（2 个）
Walter Roberson
2011-6-9
0 个投票
It is not clear to me whether exp1, exp2, and exp3 are known values, or if the those are labels being used for the three equations and each is implicitly equal to 0 ?
In Maple, trying to solve 3 equations for 2 variables usually fails. Which additional variable would you like to be solved for?
2 个评论
Walter Roberson
2011-6-9
I can solve the first two expressions for y1 and z1 without undue difficulty, but the expression for y1 involves the solution to a quartic (order 4 equation), and the expression for z1 is over 1 million characters long. Are you sure there isn't a better way to approach this?
Walter Roberson
2011-6-9
Maple was taking over 25 minutes just to _format_ a fraction of the second term of z1. I gave up and killed it off.
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2011-6-9
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