### Related

##### globalsolve-linsolve-plot2d-true

globalsolve : true;

w10(x):=(q/6*x^3+c12/...

w11(x):=(q/2*x^2+c12*...

Calculate

##### globalsolve-linsolve-true

globalsolve: true;

l:325;

h1:150;

Calculate

##### globalsolve-linsolve-true

globalsolve:true;

eq1:(x/(3*e))*3*a+((x...

eq2:((x-y)/e)*a+(y*3*...

Calculate

##### globalsolve-linsolve-programmode

eq1: Z1 = 2*pi*f*L1+RL1;

eq2:Z2 = 1/(2*pi*f*C1);

eq3:Z3 = Z2;

Calculate

##### globalsolve-linsolve-programmode

k:(y2-y1)/(x2-x1);

eq1:y=k*x+y1-k*x1;

eq2:y=(-1/k)*x+ym+(1/...

Calculate

##### globalsolve-linsolve-plot2d-true

/*Biegelinie für eine...

w10(x):=(-q1/24*x^4+c...

w11(x):=(-q1/6*x^3+c1...

Calculate

globalsolve;

Calculate

##### globalsolve-linsolve-true

globalsolve:true;

mt:2*a^3*x+2*a^2*y;

eq1:(x/(3*e))*3*a+((x...

Calculate

##### globalsolve-linsolve-tan-true

eq1:(S+4*X^2)/(1+4*X^...

eq2:2*X*(1-S)/(1+4*X^...

eq3:Q/I=tan(theta);

Calculate

##### globalsolve-sqrt-true

globalsolve: true;

x: co;

y: 0;

Calculate

### globalsolve

Run Example
```(%i1)globalsolve:true;
(%o1)                                true
(%i2) k1(Temp):=10^(7.176-3.85/Temp);
7.176 - 3.85/Temp
(%o2)                   k1(Temp) := 10
(%i3) k2(Temp):=10^(9.942-4.05/Temp);
9.942 - 4.05/Temp
(%o3)                   k2(Temp) := 10
(%i4) OH(pH):=10^(pH-OH);
pH - OH
(%o4)                         OH(pH) := 10
(%i5) ECH(t);
(%o5)                               ECH(t)
(%i6) diff(ECH,t):=k1*ECH+k2*ECH*OH;
(%o6)                 diff(ECH, t) := k1 ECH + k2 ECH OH
(%i7) solve(ECH);
(%o7)                              [ECH = 0]
(%i8) ```
Run Example
```globalsolve:true;
(%o1)                                true
(%i2) l:325;
(%o2)                                 325
(%i3) b:650;
(%o3)                                 650
(%i4) h1:150;
(%o4)                                 150
(%i5) h2:225;
(%o5)                                 225
(%i6) e1:1.6;
(%o6)                                 1.6
(%i7) e2:2.5;
(%o7)                                 2.5
(%i8) e3:1.6;
(%o8)                                 1.6
(%i9) e4:1.6;
(%o9)                                 1.6
(%i10) nu:0.3;
(%o10)                                0.3
(%i11) E:70000;
(%o11)                               70000
(%i12) S1:400;
(%o12)                                400
(%i13) S2:1200;
(%o13)                               1200
(%i14) phi:24000000/(2*b*(h2+h1)/2);
1280
(%o14)                               ----
13
(%i15) G:E/(2*(1+nu));
(%o15)                         26923.07692307692
(%i16) phi1:(1/h1)*(-phi*(h2-h1)+phi2*h2);
96000
225 phi2 - -----
13
(%o16)                         ----------------
150
(%i17) phi3:(1/h1)*(phi*(h2+h1)-phi2*h2);
480000
------ - 225 phi2
13
(%o17)                         -----------------
150
(%i18) Ws1:(l*l*l)/(h1*h1*6*E*S1)*(phi3-phi1)^2;
480000                         96000
------ - 225 phi2   225 phi2 - -----
13                            13   2
2197 (----------------- - ----------------)
150                150
(%o18)           --------------------------------------------
241920000
(%i19) Ws2:(l*l*l)/(h1*h1*6*E*S2)*(phi2-phi3)^2;
480000
------ - 225 phi2
13              2
2197 (phi2 - -----------------)
150
(%o19)                 --------------------------------
725760000
(%i20) Wp1:phi1*phi1*l*h1/(G*e1*2);
96000 2
(%o20)             2.5148809523809522E-5 (225 phi2 - -----)
13
(%i21) Wp2:phi2*phi2*l*h2/(G*e2*2);
2
(%o21)                      0.54321428571429 phi2
(%i22) Wp3:phi3*phi3*l*b/(G*e3*2);
480000            2
(%o22)            1.0897817460317461E-4 (------ - 225 phi2)
13
(%i23) W:2*Ws1+2*Ws2+2*Wp3+Wp1+Wp2;
480000                         96000
------ - 225 phi2   225 phi2 - -----
13                            13   2
2197 (----------------- - ----------------)
150                150
(%o23) --------------------------------------------
120960000
480000
------ - 225 phi2
13              2
2197 (phi2 - -----------------)
96000 2                       150
+ 2.5148809523809522E-5 (225 phi2 - -----)  + --------------------------------
13                  362880000
2                          480000            2
+ 0.54321428571429 phi2  + 2.1795634920634922E-4 (------ - 225 phi2)
13
(%i24) a:solve(diff(W,phi2)=0,phi2);

rat: replaced -0.09808035714286 by -2197/22400 = -0.09808035714286

rat: replaced 1.086428571428571 by 1521/1400 = 1.086428571428572

rat: replaced 0.011316964285714 by 507/44800 = 0.011316964285714
206843813120
(%o24)                       [phi2 = ------------]
1434840277
(%i25) phi2:a;
206843813120
(%o25)                       [phi2 = ------------]
1434840277
(%i26) phi1:(1/h1)*(-phi*(h2-h1)+phi2*h2);
96000
225 phi2 - -----
13     239627429120
(%o26)                 [---------------- = ------------]
150           1434840277
(%i27) phi3:(1/h1)*(phi*(h2+h1)-phi2*h2);
480000
------ - 225 phi2
13                42925733120
(%o27)                 [----------------- = -----------]
150          1434840277
(%i28) ```
Run Example
```e1 : (0^3)*k + (0^2)*l + 0*m + n = 0;
(%o1)                                n = 0
(%i2) e2 : 3*(0^2)*k + 2*0*l + m = 0.8;
(%o2)                               m = 0.8
(%i3) e3 : (10^3)*k + (10^2)*l + 10*m + n - (10^2)*a - 10*b -c = 0;
(%o3)          n + 10 m + 100 l + 1000 k - c - 10 b - 100 a = 0
(%i4) e4 : 3*(10^2)*k + 2*10*l + m - 2*10*a - b = 0;
(%o4)                   m + 20 l + 300 k - b - 20 a = 0
(%i5) e5 : (100^3)*p + (100^2)*q + 100*r + s = -40;
(%o5)               s + 100 r + 10000 q + 1000000 p = - 40
(%i6) e6 : 3*(100^2)*p + 2*100*q + r = -1.6;
(%o6)                     r + 200 q + 30000 p = - 1.6
(%i7) e7 : (90^3)*p + (90^2)*q + 90*r + s - (90^2)*a - 90*b - c = 0;
(%o7)        s + 90 r + 8100 q + 729000 p - c - 90 b - 8100 a = 0
(%i8) e8 : 3*(90^2)*p + 2*90*q + r - 2*90*a - b = 0;
(%o8)                 r + 180 q + 24300 p - b - 180 a = 0
(%i9) e9 : 2*(100/33)*a + b = 0;
200 a
(%o9)                            b + ----- = 0
33
(%i10) e10 : ((100/33)^2)*a + (100/33)*b + c = 30;
100 b   10000 a
(%o10)                     c + ----- + ------- = 30
33      1089
(%i11) e11 :  (10^3)*k + (10^2)*l + 10*m + n = 10;
(%o11)                  n + 10 m + 100 l + 1000 k = 10
(%i12) e12 : (90^3)*p + (90^2)*q + 90*r + s = 10;
(%o12)                 s + 90 r + 8100 q + 729000 p = 10
(%i13) e13 : 3*(10^2)*k + 2*10*l + m = 2.4;
(%o13)                      m + 20 l + 300 k = 2.4
(%i14) e14 : 3*(90^2)*p + 2*90*q + r = -2.4;
(%o14)                    r + 180 q + 24300 p = - 2.4
(%i15) [globalsolve: true];
(%o15)                              [true]
(%i16) linsolve([e1, e2, e3, e4, e5, e6, e7, e8, e9, e10, e13], [a, b, c, k, l, m, n, p, q, r, s]);

rat: replaced -0.8 by -4/5 = -0.8

rat: replaced 1.6 by 8/5 = 1.6

rat: replaced -2.4 by -12/5 = -2.4
99         24      7990        123       413      4
(%o16) [a : ---, b : - --, c : ----, k : - ----, l : ---, m : -, n : 0,
575        23      253         2750      550      5
191523        2187353      103819476        655138640
p : ------, q : - -------, r : ---------, s : - ---------]
63250          2530          1265              253
(%i17) f(a1,b1,c1,x) := a1*(x^2) + b1*x + c1;
2
(%o17)               f(a1, b1, c1, x) := a1 x  + b1 x + c1
(%i18) g(x):= p*(x^3) + q*(x^2) + r*x +s;
3      2
(%o18)                   g(x) := p x  + q x  + r x + s
(%i19) plot2d(f(a, b, c, x),[x,10,90]);
plotplot2d(g,[x,0,10]);
plotplot2d(f(a, b, c, x),[x,10,90]);
plot```

### Related Help

Help for Globalsolve