Slopes vs LiveMath

Slopes is an interactive environment for exploring graphical solutions to ordinary differential equations. Slopes consists of six activities with preloaded examples to get you started and the ability to input your own content. "Slopefields" and “Phase Planes” both plot vector fields and solutions corresponding to multiple initial conditions. “Systems” dynamically solves systems of up to six equations. “Oscillations” solves second-order constant coefficient equations and animates the corresponding spring-mass system or RLC circuit. “Methods” constructs numerical approximations of a single ordinary differential equation using Euler’s method as well as Second and Fourth Order Runge-Kutta methods. "Bifurcations" creates a bifurcation diagram and shows the stability of equilibrium points. Slopes is a playground for ODEs. You can use it for homework, in-class activities or a new research project.

A symbolic algebra and graphing platform for the rest of us - visual exploration and intuitive interaction without writing code. Looks like math. Feels like math. No programming headaches. Do algebra by picking up expressions and dragging or applying commands to them - you feel the tactile operations. Drag expressions onto graph windows to add them to the graph. Plot and compute: • Parametric and implicit curves and surfaces, including tubes • Differential equation solutions as numerical Flow plots • Inequalities plots for linear programming • Polygons and polyhedra with the Shapes plot • Embedded videos in notebooks • Full Unicode, including emoji, in math computations • Significantly improved integration and differentiation engines • Laplace Transform computations • Statistics and linear algebra built in, including SVD and Eigenfactor • Drag-and-drop matrix row operations for classroom presentation Free to read and interact with any premade notebook. LiveMath Pro unlocks adding new expressions and computations, saving and exporting. iPhone, iPad, Mac and Windows. Fifteen languages. LiveMath Pro is an auto-renewable yearly subscription. Payment is charged to your Apple Account at confirmation of purchase; the subscription renews automatically unless canceled at least 24 hours before the end of the current period. Manage or cancel in Settings. Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/ Privacy Policy: https://www.livemath.com/privacy