Ordinary Differential Equations
"All The Mathematical Methods I Learned In My University Math Degree Became Obsolete In My Lifetime" - Keith Devlin
Differential Equations Enter the dy/dx expression into d(x,y)
and let I represent your initial point.
Plotting Slope Fields and Solutions: Type in the expression for dy/dx (once using f as y) and initial conditions, and the min/max values for the window of the plot. Then a slope field will be plotted as well as a particular solution.
Euler's Method: Enter an expression for dy/dx=f(x,y). Use d_x as your delta x and enter the initial conditions in the first row of the table. Then, as one increments k, write the point described by the next step into the table. (https://www.desmos.com/calculator/a4zsaszez8)
Euler's Method in Sage: In thee argument for eulers_method: euler's_methodd(dy/dx, initial x, initial y, delta x, final x).
Plotting Slope Fields and Solutions: Type in the expression for dy/dx (once using f as y) and initial conditions, and the min/max values for the window of the plot. Then a slope field will be plotted as well as a particular solution.
Euler's Method: Enter an expression for dy/dx=f(x,y). Use d_x as your delta x and enter the initial conditions in the first row of the table. Then, as one increments k, write the point described by the next step into the table. (https://www.desmos.com/calculator/a4zsaszez8)
Euler's Method in Sage: In thee argument for eulers_method: euler's_methodd(dy/dx, initial x, initial y, delta x, final x).