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cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-1*%pi,1*%pi], [v,0*%pi,1.95*%pi], [grid,50,20],[palette,get_plot_option(palette,3)]);

x(u,v):=1/cosh(u)*cos...

y(u,v):=1/cosh(u)*sin...

z(u,v):=1/cosh(u)*sin...

Calculate

cosh-plot3d-sin
plot3d([x(u,v),y(u,v),z(u,v)], [u,-1*%pi,1*%pi], [v,0*%pi,1.5*%pi], [grid,50,20],[palette,get_plot_option(palette,3)]);

x(u,v):=cosh(u)*cos(v);

y(u,v):=cosh(u)*sin(v);

z(u,v):=u;

Calculate

cosh-plot2d
plot2d(1039.23*cosh(x/1039.23),[x,0,1000]);

plot2d(1039.23*cosh(x...

Calculate

cosh-plot2d
plot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,1],[y,0,1]);

k:1.8;

f:0.299;

Hy:0.7;

Calculate

cosh-exp-plot2d
plot2d([cosh(x), 1/2*(exp(x)-exp(-x))], [x,-10,10], [y,-1000,1000]);

plot2d([cosh(x), 1/2*...

Calculate

cosh-trigreduce

trigreduce(cosh(x)**3);

Calculate

cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-4*%pi,-2*%pi], [v,0*%pi,1*%pi], [grid,50,20],[palette,get_plot_option(palette,3)]);

x(u,v):=1/cosh(u)*cos...

y(u,v):=1/cosh(u)*sin...

z(u,v):=1/cosh(u)*sin...

Calculate

cosh-integrate-sinh

integrate(sinh(x)*sin...

integrate((cosh(2*x) ...

Calculate

cosh-linsolve-sinh

eq1:v1=c1+c2+k;

eq2:v2=c1*sinh(lambda...

linsolve([eq1,eq2],[c...

Calculate

cosh-sin-sinh

phikn(y,k):=cosh(k*y)...

diffphikn(y,k) :='dif...

Calculate

cosh

Run Example
(%i1)k:1.8;
(%o1)                                 1.8
(%i2)  f:0.299;
(%o2)                                0.299
(%i3) Hy:0.7;
(%o3)                                 0.7
(%i4)  Hk:0.2;
(%o4)                                 0.2
(%i5) Zk:Hy-Hk;
(%o5)                                 0.5
(%i6) plot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,001],[y,0,001]);
plotplot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,001],[y,0,001]);
Run Example
x(u,v):=sinh(u)*sinh(v);
(%o1)                     x(u, v) := sinh(u) sinh(v)
(%i2) y(u,v):=sinh(u)*cosh(v);
(%o2)                     y(u, v) := sinh(u) cosh(v)
(%i3) z(u,v):=sinh(u);
(%o3)                         z(u, v) := sinh(u)
(%i4) plot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);
plotplot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);
Run Example
fb: .1;
(%o1)                                 0.1
(%i2) t1: y[n] = tanh(x[n] + y[n-1] * fb);
(%o2)                     y  = tanh(x  + 0.1 y     )
                           n         n        n - 1
(%i3) integrate(t1, x);
(%o3)                y  x = tanh(x  + 0.1 y     ) x + %c1
                      n           n        n - 1
(%i4) integrate(t1, y);
(%o4)                y  y = tanh(x  + 0.1 y     ) y + %c2
                      n           n        n - 1
(%i5) plot2d(cosh(x), [x, -5, 5]);
plotplot2d(cosh(x), [x, -5, 5]);

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Help for Cosh