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lambert_w

lambert_w (-.035);

Calculate

lambert_w-log-plot2d-sqrt
plot2d([-(log(x)/log(3)) + 1, (x)^(1/3)], [x, -2, 5], [y, -2, 4]);

plot2d([-(log(x)/log(...

a = 2 * lambert_w(-lo...

a;

Calculate

lambert_w-log-plot2d-sqrt
plot2d([-(log(x)/log(2)) + 2, (x)^(1/3)], [x, -2, 5], [y, -2, 4]);

plot2d([-(log(x)/log(...

a = 2 * lambert_w(-lo...

a;

Calculate

lambert_w-log-numer

-lambert_w(-log(17))/...

Calculate

lambert_w

lambert_w (-.3);

Calculate

lambert_w

lambert_w (-.3);

Calculate

lambert_w-plot2d
plot2d(lambert_w(x), [x, 0, 1]);

plot2d(lambert_w(x), ...

Calculate

lambert_w

? lambert_w;

Calculate

lambert_w

lambert_w(1.);

Calculate

lambert_w-log-plot2d-sqrt
plot2d([-(log(x)/log(2)) + 2, (x)^(1/3)], [x, -2, 5], [y, -2, 4]);

plot2d([-(log(x)/log(...

a = 2 * lambert_w(-lo...

a;

Calculate

lambert_w

Run Example
(%i1)eq1: y = lambert_w(x);
(%o1)                          y = lambert_w(x)
(%i2) plot2d(lambert_w(e^x), [x, 0, 10]);
plotplot2d(lambert_w(e^x), [x, 0, 10]);
Run Example
TIP:21.3;
(%o1)                                21.3
(%i2) TOP:14.47;
(%o2)                                14.47
(%i3) TIB:0;
(%o3)                                  0
(%i4) cp:4190;
(%o4)                                4190
(%i5) m:0.6;
(%o5)                                 0.6
(%i6) dT:TIP - TOP;
(%o6)                                6.83
(%i7) A:0.11;
(%o7)                                0.11
(%i8) U:150;
(%o8)                                 150
(%i9) dt:60;
(%o9)                                 60
(%i10) B:m*cp*(dT/dt)/(U*A);
(%o10)                         17.34406060606061
(%i11) z:(-exp((TIB-TOP)/B)*(TOP-TIB))/(B);
(%o11)                        - 0.36223433436161
(%i12) TOB = B*lambert_w(z)+TIP;
(%o12)                      TOB = 6.829999999999997
(%i13) 
Run Example
plot2d([-(log(x)/log(2)) + 2, (x)^(1/3)], [x, -2, 5], [y, -2, 4]);
plotplot2d([-(log(x)/log(2)) + 2, (x)^(1/3)], [x, -2, 5], [y, -2, 4]);a = 2 * lambert_w(-log(2)/sqrt(2))/log(2);
                                            log(2)
                              2 lambert_w(- -------)
                                            sqrt(2)
(%o2)                     a = ----------------------
                                      log(2)
(%i3) a;
(%o3)                                  a
(%i4) 

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Help for Lambert_w