Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

A slope field shows the slope of a differential equation at certain vertical and horizontal intervals on the x-y plane, and can be used to determine the approximate tangent slope at a point on a …

Slope fields The equation y ′ = f(x, y) gives you a slope at each point in the (x, y) -plane. And this is the slope a solution y(x) would have at x if its value was y. In other words, f(x, y) is the slope …

Plot a direction field for a specified differential equation and display particular solutions on it if desired.

Sep 30, 2024 · A Javascript app to display the slope field for an ordinary differential equation, or the direction field (phase plane) for a two-variable system, and plot numerical solutions (e.g. …

Slope Field generator and approximate solution curves given initial values. Credits: Originally created by Chip Rollinson.

Jan 9, 2015 · The graph of a differential equation is a slope field. A first derivative expressed as a function of x and y gives the slope of the tangent line to the solution curve that goes…

A slope field is a collection of short line segments, whose slopes match that of a solution of a first-order differential equation passing through the segment's midpoint. The pattern produced by …

Apr 3, 2025 · Given an ordinary differential equation y^'=f (x,y), the slope field for that differential equation is the vector field that takes a point (x,y) to a unit vector with slope f (x,y).

This plots a slope field for the differential equation dy/dt = f (t,y) between the t-values T_1, T_2 and the y-values Y_1, Y_2. N determines the number of points plotted, and S rescales the line …