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小木虫论坛-学术科研互动平台 » 计算模拟区 » 仿真模拟 » MATLAB » 【求助】matlab逆求解方程问题
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urion

铁杆木虫 (职业作家)

[交流] 【求助】matlab逆求解方程问题

function fc
syms r t a b p1 v;
y=r*t/(v-b)-a*t/(v*(v+b)+b*(v-b))-p1
v=solve(y,'v') 即可解出变量v的值,
现在y是知道的如果求解出v的值?

谁能给出正确的结果,送5个金币表示感谢!

[ Last edited by urion on 2009-12-9 at 00:10 ]
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1楼 2009-12-08 22:45:08
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change0618

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方丈大师
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小木虫(金币+0.5):给个红包，谢谢回帖交流
转换成V的多项式，roots解决
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2楼2009-12-08 22:47:34
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urion

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楼上能否详细点? 感谢先
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3楼2009-12-08 23:08:01
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nono2009

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又是状态方程。
你要解析解还是数值解？
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4楼2009-12-08 23:28:13
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urion

铁杆木虫 (职业作家)
只要能把v转化成y的函数就可以
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5楼2009-12-08 23:32:24
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urion

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谁能给出正确的结果,送5个金币表示感谢!
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6楼2009-12-09 20:03:00
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nono2009

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偶很差，试试吧

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小木虫(金币+0.5):给个红包，谢谢回帖交流
>> syms r t a b p1 v y;
f = r*t/(v-b)-a*t/(v*(v+b)+b*(v-b))-p1-y;
v = solve(f,v)

v =

1/6/(p1+y)*(-672*p1^2*b^3*y-672*p1*b^3*y^2-48*r*t*b^2*p1^2-48*r*t*b^2*y^2+144*a*t*p1^2*b+144*a*t*y^2*b+48*r^2*t^2*b*p1+48*r^2*t^2*b*y-36*a*t^2*r*p1-36*a*t^2*r*y-224*p1^3*b^3-224*y^3*b^3-96*r*t*b^2*p1*y+288*a*t*p1*b*y+8*r^3*t^3+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*p1+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*y)^(1/3)-2/3*(-4*r*t*b*p1-4*r*t*b*y+3*a*t*p1+3*a*t*y-10*p1^2*b^2-20*p1*b^2*y-10*y^2*b^2-r^2*t^2)/(p1+y)/(-672*p1^2*b^3*y-672*p1*b^3*y^2-48*r*t*b^2*p1^2-48*r*t*b^2*y^2+144*a*t*p1^2*b+144*a*t*y^2*b+48*r^2*t^2*b*p1+48*r^2*t^2*b*y-36*a*t^2*r*p1-36*a*t^2*r*y-224*p1^3*b^3-224*y^3*b^3-96*r*t*b^2*p1*y+288*a*t*p1*b*y+8*r^3*t^3+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*p1+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*y)^(1/3)-1/3*(-r*t+p1*b+y*b)/(p1+y)

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-1/12/(p1+y)*(-672*p1^2*b^3*y-672*p1*b^3*y^2-48*r*t*b^2*p1^2-48*r*t*b^2*y^2+144*a*t*p1^2*b+144*a*t*y^2*b+48*r^2*t^2*b*p1+48*r^2*t^2*b*y-36*a*t^2*r*p1-36*a*t^2*r*y-224*p1^3*b^3-224*y^3*b^3-96*r*t*b^2*p1*y+288*a*t*p1*b*y+8*r^3*t^3+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*p1+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*y)^(1/3)+1/3*(-4*r*t*b*p1-4*r*t*b*y+3*a*t*p1+3*a*t*y-10*p1^2*b^2-20*p1*b^2*y-10*y^2*b^2-r^2*t^2)/(p1+y)/(-672*p1^2*b^3*y-672*p1*b^3*y^2-48*r*t*b^2*p1^2-48*r*t*b^2*y^2+144*a*t*p1^2*b+144*a*t*y^2*b+48*r^2*t^2*b*p1+48*r^2*t^2*b*y-36*a*t^2*r*p1-36*a*t^2*r*y-224*p1^3*b^3-224*y^3*b^3-96*r*t*b^2*p1*y+288*a*t*p1*b*y+8*r^3*t^3+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*p1+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*y)^(1/3)-1/3*(-r*t+p1*b+y*b)/(p1+y)-1/2*i*3^(1/2)*(1/6/(p1+y)*(-672*p1^2*b^3*y-672*p1*b^3*y^2-48*r*t*b^2*p1^2-48*r*t*b^2*y^2+144*a*t*p1^2*b+144*a*t*y^2*b+48*r^2*t^2*b*p1+48*r^2*t^2*b*y-36*a*t^2*r*p1-36*a*t^2*r*y-224*p1^3*b^3-224*y^3*b^3-96*r*t*b^2*p1*y+288*a*t*p1*b*y+8*r^3*t^3+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*p1+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*y)^(1/3)+2/3*(-4*r*t*b*p1-4*r*t*b*y+3*a*t*p1+3*a*t*y-10*p1^2*b^2-20*p1*b^2*y-10*y^2*b^2-r^2*t^2)/(p1+y)/(-672*p1^2*b^3*y-672*p1*b^3*y^2-48*r*t*b^2*p1^2-48*r*t*b^2*y^2+144*a*t*p1^2*b+144*a*t*y^2*b+48*r^2*t^2*b*p1+48*r^2*t^2*b*y-36*a*t^2*r*p1-36*a*t^2*r*y-224*p1^3*b^3-224*y^3*b^3-96*r*t*b^2*p1*y+288*a*t*p1*b*y+8*r^3*t^3+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*p1+12*3^(1/2)*(4*y*a^3*t^3-192*y^2*p1^2*b^6-128*y^3*p1*b^6-8*r^4*t^4*b^2+4*a^3*t^3*p1-a^2*t^4*r^2-32*p1^4*b^6-128*r*t*b^5*p1^3-64*r^3*t^3*b^3*p1-160*r^2*t^2*b^4*p1^2+8*r^3*t^4*b*a-16*a*t*p1^3*b^4+8*a^2*t^2*p1^2*b^2-40*r*t^3*b*p1*a^2+88*r^2*t^3*b^2*p1*a+112*r*t^2*b^3*p1^2*a-128*y^3*r*t*b^5-16*y^3*a*t*b^4-160*y^2*r^2*t^2*b^4+8*y^2*a^2*t^2*b^2-64*y*r^3*t^3*b^3-128*y*p1^3*b^6-32*b^6*y^4+112*y^2*r*t^2*b^3*a-48*y^2*a*t*p1*b^4-384*y^2*r*t*b^5*p1+88*y*r^2*t^3*b^2*a-40*y*r*t^3*b*a^2-384*y*r*t*b^5*p1^2+16*y*a^2*t^2*p1*b^2+224*y*r*t^2*b^3*p1*a-48*y*a*t*p1^2*b^4-320*y*r^2*t^2*b^4*p1)^(1/2)*y)^(1/3))

[ Last edited by nono2009 on 2009-12-9 at 20:16 ]
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7楼2009-12-09 20:13:35
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urion

铁杆木虫 (职业作家)
请版主带为扣我5个金币给nono2009,感谢!
继续请教nono2009:
>> syms r t a b p1 v y;
f = r*t/(v-b)-a*t/(v*(v+b)+b*(v-b))-p1-y;
v = solve(f,v)

如果我的y是一系列值保存在txt文件中,如何让计算出相应的v值并保存到另一个txt文件中?
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8楼2009-12-09 20:57:55
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