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lambert_w

lambert_w(1.0);

Calculate

lambert_w-plot2d
plot2d(lambert_w(x), [x, 0, 10]);

eq1: y = lambert_w(x);

plot2d(lambert_w(x), ...

Calculate

lambert_w-plot2d
plot2d(lambert_w(x), [x, 0, 10]);

eq1: y = lambert_w(x);

plot2d(lambert_w(x), ...

Calculate

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

plot2d(lambert_w(x), ...

Calculate

lambert_w

lambert_w (1);

Calculate

lambert_w-plot2d
plot2d(lambert_w(e**x), [x, 0, 10]);

eq1: y = lambert_w(x);

plot2d(lambert_w(e**x...

Calculate

lambert_w

lambert_w (1.);

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lambert_w

eq1: y = lambert_w(x);

Calculate

lambert_w

eq1: y = lambert_w(x);

Calculate

lambert_w-plot2d
plot2d(lambert_w(x), [x, 0, 10]);

eq1: y = lambert_w(x);

plot2d(lambert_w(x), ...

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((lambert_w(exp(x/0.026)) - lambert_w(exp(-x/0.026))), [x, -10, 10], [y, -1, 1]);
plotplot2d((lambert_w(exp(x/0.026)) - lambert_w(exp(-x/0.026))), [x, -10, 10], [y, -1, 1]);

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