Real Function Plotters
Explicit Function
Explicit Function y=f(x) Plotter
Explicit Function Family
Explicit Function Family y=f(x,a[i]) Plotter
Explicit Function Family with Slider Controllable Parameters
Explicit Function Family with Slider Controllable Parameters y=f(x,a[i],A,B)
Multiple Explicit Functions
Multiple Explicit Functions yi=fi(x)(i=0,1,2,3) Plotter
Parametric Function
Parametric Equation Represented Function x=g(t), y=h(t) Plotter
Polar Function
Polar Equation Represented Function r=f(a)=f(ang) Plotter
Implicit Function
Implicit Function f(x,y)=0 Plotter (Line Scan Method)
Implicit Function Family
Implicit Function Family f(x,y,a[i])=0 Plotter (Line Scan Method)
Implicit Function Family with Slider Controllable Parameters
Implicit Function Family with Slider Controllable Parameters f(x,y,a[i],A,B)=0
Implicit Function (Random Testing Method)
Implicit Function f(x,y)=0 Plotter (Random Testing Method)
Multiple Implicit Functions
Multiple Implicit Functions fi(x,y)=0 (i=0,1,2,3) Plotter (Line Scan Method)
Multiple Function Plotter
Multi-Type Function Plotter
Numerical Solution of Ordinary Differential Equations(ODEs)
1st-Order Ordinary Differential Equations
1st-Order Ordinary Differential Equation
`dy/dt=f(y,t)=F(y)+K*u(t)`
`dy/dt=f(y,t)=F(y)+K*u(t)`
1st-Order Ordinary Differential Equations (Generic)
1st-Order Ordinary Differential Equation (Generic)
`dy/dt=f(y,t)`
`dy/dt=f(y,t)`
2nd-Order Ordinary Differential Equations
2nd-Order Ordinary Differential Equation
`dy_0/dt=f_0(y_0,y_1,t)=F_0(y_0,y_1)+K_0*u(t),`
`dy_1/dt=f_1(y_0,y_1,t)=F_1(y_0,y_1)+K_1*u(t),`
and/or `y''=F(y, y')+K*u(t)`
`dy_0/dt=f_0(y_0,y_1,t)=F_0(y_0,y_1)+K_0*u(t),`
`dy_1/dt=f_1(y_0,y_1,t)=F_1(y_0,y_1)+K_1*u(t),`
and/or `y''=F(y, y')+K*u(t)`
2nd-Order Ordinary Differential Equations (Generic)
2nd-Order Ordinary Differential Equation (Generic)
`dy_0/dt=f_0(y_0,y_1,t),`
`dy_1/dt=f_1(y_0,y_1,t),`
and/or `y''=f(y, y', t)`
`dy_0/dt=f_0(y_0,y_1,t),`
`dy_1/dt=f_1(y_0,y_1,t),`
and/or `y''=f(y, y', t)`
3rd-Order Ordinary Differential Equations
3rd-Order Ordinary Differential Equation
`dy_0/dt=f_0(y_0,y_1,y_2,t)=F_0(y_0,y_1,y_2)+K_0*u(t),`
`dy_1/dt=f_1(y_0,y_1,y_2,t)=F_1(y_0,y_1,y_2)+K_1*u(t),`
`dy_2/dt=f_2(y_0,y_1,y_2,t)=F_2(y_0,y_1,y_2)+K_2*u(t),`
and/or `y'''=F(y, y', y'')+K*u(t)`.
`dy_0/dt=f_0(y_0,y_1,y_2,t)=F_0(y_0,y_1,y_2)+K_0*u(t),`
`dy_1/dt=f_1(y_0,y_1,y_2,t)=F_1(y_0,y_1,y_2)+K_1*u(t),`
`dy_2/dt=f_2(y_0,y_1,y_2,t)=F_2(y_0,y_1,y_2)+K_2*u(t),`
and/or `y'''=F(y, y', y'')+K*u(t)`.
3rd-Order Ordinary Differential Equations with Slider Controllable Parameters
3rd-Order Ordinary Differential Equation with A,B,C parameter sliders
`dy_0/dt=f_0(y_0,y_1,y_2,t)=F_0(y_0,y_1,y_2,A,B,C)+K_0*u(t),`
`dy_1/dt=f_1(y_0,y_1,y_2,t)=F_1(y_0,y_1,y_2,A,B,C)+K_1*u(t),`
`dy_2/dt=f_2(y_0,y_1,y_2,t)=F_2(y_0,y_1,y_2,A,B,C)+K_2*u(t),`
and/or `y'''=F(y, y', y'',A,B,C)+K*u(t)`.
`dy_0/dt=f_0(y_0,y_1,y_2,t)=F_0(y_0,y_1,y_2,A,B,C)+K_0*u(t),`
`dy_1/dt=f_1(y_0,y_1,y_2,t)=F_1(y_0,y_1,y_2,A,B,C)+K_1*u(t),`
`dy_2/dt=f_2(y_0,y_1,y_2,t)=F_2(y_0,y_1,y_2,A,B,C)+K_2*u(t),`
and/or `y'''=F(y, y', y'',A,B,C)+K*u(t)`.
3rd-Order Ordinary Differential Equations (Generic)
3rd-Order Ordinary Differential Equation (Generic)
`dy_0/dt=f_0(y_0,y_1,y_2,t),`
`dy_1/dt=f_1(y_0,y_1,y_2,t),`
`dy_2/dt=f_2(y_0,y_1,y_2,t),`
and/or `y'''=f(y, y', y'', t)`.
`dy_0/dt=f_0(y_0,y_1,y_2,t),`
`dy_1/dt=f_1(y_0,y_1,y_2,t),`
`dy_2/dt=f_2(y_0,y_1,y_2,t),`
and/or `y'''=f(y, y', y'', t)`.
4th-Order Ordinary Differential Equations
4th-Order Ordinary Differential Equation
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,t)=F_0(y_0,y_1,y_2,y_3)+K_0*u(t),`
...
`dy_3/dt=f_3(y_0,y_1,y_2,y_3,t)=F_3(y_0,y_1,y_2,y_3)+K_3*u(t),`
and/or `y^((4))=F(y, y', y'', y''')+K*u(t)`.
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,t)=F_0(y_0,y_1,y_2,y_3)+K_0*u(t),`
...
`dy_3/dt=f_3(y_0,y_1,y_2,y_3,t)=F_3(y_0,y_1,y_2,y_3)+K_3*u(t),`
and/or `y^((4))=F(y, y', y'', y''')+K*u(t)`.
4th-Order Ordinary Differential Equations (Generic)
4th-Order Ordinary Differential Equation (Generic)
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,t),`
...
`dy_3/dt=f_3(y_0,y_1,y_2,y_3,t),`
and/or `y^((4))=f(y, y', y'', y''',t)`.
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,t),`
...
`dy_3/dt=f_3(y_0,y_1,y_2,y_3,t),`
and/or `y^((4))=f(y, y', y'', y''',t)`.
5th-Order Ordinary Differential Equations
5th-Order Ordinary Differential Equation
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,y_4,t)=F_0(y_0,y_1,y_2,y_3,y_4)+K_0*u(t)`,
...
`dy_4/dt=f_4(y_0,y_1,y_2,y_3,y_4,t)=F_4(y_0,y_1,y_2,y_3,y_4)+K_4*u(t)`,
and/or `y^((5))=F(y, y', y'', y''', y^((4)))+K*u(t)`.
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,y_4,t)=F_0(y_0,y_1,y_2,y_3,y_4)+K_0*u(t)`,
...
`dy_4/dt=f_4(y_0,y_1,y_2,y_3,y_4,t)=F_4(y_0,y_1,y_2,y_3,y_4)+K_4*u(t)`,
and/or `y^((5))=F(y, y', y'', y''', y^((4)))+K*u(t)`.
5th-Order Ordinary Differential Equations (Generic)
5th-Order Ordinary Differential Equation (Generic)
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,y_4,t),`
...
`dy_4/dt=f_4(y_0,y_1,y_2,y_3,y_4,t),`
and/or `y^((5))=f(y, y', y'', y''', y^((4)), t)`.
`dy_0/dt=f_0(y_0,y_1,y_2,y_3,y_4,t),`
...
`dy_4/dt=f_4(y_0,y_1,y_2,y_3,y_4,t),`
and/or `y^((5))=f(y, y', y'', y''', y^((4)), t)`.
Complex Function Plotter
Complex Function w=F(z) Conformal Mapping Method
Complex Function w=F(z) or Z2=F(Z1) Plotter
Complex Function w=F(z) Domain Coloring Method
Complex Function w=F(z) or Z2=F(Z1) Plotter (Domain Coloring Method)
Fractal Plotters
Mandelbrot Set and Multibrot Set Plotter
Mandelbrot Set and Multibrot Set Plotter
`z(n+1)=z(n)^2+c(x,y)`
`z(n+1)=z(n)^(m)+c(x,y)`
`z(n+1)=(z(n)+c(x,y))^(m)`
`z(n+1)=z(n)^2+c(x,y)`
`z(n+1)=z(n)^(m)+c(x,y)`
`z(n+1)=(z(n)+c(x,y))^(m)`
Julia Set and Multijulia Set Plotter
Julia Set and Multijulia Set Plotter
`z(n+1)=z(n)^2+c(xc,yc)`
`z(n+1)=z(n)^(m)+c(xc,yc)`
`z(n+1)=(z(n)+c(xc,yc))^(m)`
`z(n+1)=z(n)^2+c(xc,yc)`
`z(n+1)=z(n)^(m)+c(xc,yc)`
`z(n+1)=(z(n)+c(xc,yc))^(m)`
Generic Mandelbrot Set Plotter
Generic Mandelbrot Set Plotter
Generic Julia Set Plotter
Generic Julia Set Plotter
Mandelbrot Set [DEPRECATED]
The Mandelbrot Set Image Plotter (Line Scan Method)
Mandelbrot Set (Random Testing Method) [DEPRECATED]
The Mandelbrot Set Image Plotter (Random Testing Method)