Visualize slope fields, trace solution curves, explore phase planes, and model real-world phenomena with differential equations.
Start SolvingStudy separable, linear, exact, and Bernoulli equations. Visualize slope fields and solution families with interactive direction field plotters.
Solve second-order equations, use characteristic equations, explore coupled systems, and analyze stability with phase plane portraits.
Model population growth, mixing problems, circuits, spring-mass systems, and predator-prey dynamics. Apply Euler and Runge-Kutta methods.
Generate direction fields for any first-order ODE and trace solution curves through initial conditions.
Plot trajectories for systems of equations and classify equilibrium points as stable, unstable, or saddle.
Compare Euler, improved Euler, and RK4 methods side by side with error analysis.
Build and analyze differential equation models for population dynamics, heat transfer, and mechanical vibrations.
Seeing the slope field and tracing solutions through different initial conditions made DEs visual and intuitive.Prof. Chang, Mathematics
The predator-prey model simulation was fascinating. It connected calculus to biology in a way I never expected.Sophia R., College Sophomore