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coth-plot2d-tanh
plot2d([tanh(x)+ coth(x)],[x,-1,1]);

plot2d([tanh(x)+ coth...

Calculate

coth

coth (10);

Calculate

coth-linsolve-tanh

eq1:kappa*tau=(deltaa...

eq2:tau=k*deltaa*delt...

linsolve([eq1,eq2],[t]);

Calculate

coth

coth (10);

Calculate

coth-plot2d-tanh
plot2d([tanh(x)+ coth(x)],[x,-1,1]);

plot2d([tanh(x)+ coth...

Calculate

coth-sqrt

coth(sqrt(x));

Calculate

coth-solve-tanh

eq1:kappa*tau=(at-lam...

eq2:tau=k*at/lambda*t...

solve([eq1,eq2],[t]);

Calculate

coth-linsolve-tanh

eq1:kappa*tau=(da*dt-...

eq2:tau=k*da*dt/lambd...

linsolve([eq1,eq2],[t]);

Calculate

coth-solve-tanh

eq1:kappa*tau=(at-lam...

eq2:tau=k*at/lambda*t...

solve([eq1,eq2],[t]);

Calculate

coth-plot2d
plot2d(coth(x),[x,-5,5]);

plot2d(coth(x),[x,-5,...

Calculate

coth

Run Example
(%i1)residue ((pi*cot(pi*z)*coth(pi*z)**2/(z^4)), z, -2);
(%o1)                                  0
(%i2)  residue ((pi*cot(pi*z))/(z*(z+2)), z, 0);
                                        1
(%o2)                                 - -
                                        4
(%i3) 
Run Example
eq1:kappa*(k*at/lambda*tanh(k*l)-k*t*coth(2*k*l))=(at-lambda*t)*la;
                at k tanh(k l)
(%o1)    kappa (-------------- - k coth(2 k l) t) = la (at - t lambda)
                    lambda
(%i2) solve([eq1],[t]);
                        at la lambda - at k kappa tanh(k l)
(%o2)            [t = ---------------------------------------]
                               2
                      la lambda  - k kappa coth(2 k l) lambda
(%i3) 
Run Example
residue (1/(s), s, 0);
(%o1)                                  1
(%i2)  residue ((pi*cot(pi*x)*coth(pi*x*a)^2)/x**4, x, 1);
(%o2)                                  0
(%i3) 

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