Shelvean Kapita

Interactive Differential Equations Tools

Explore key concepts in differential equations through interactive JavaScript visualizations. Adjust parameters in real time and observe solution behavior.

Direction Field

Visualize slope fields and solution curves for first-order ordinary differential equations.

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Phase Line Plot

Analyze equilibrium points and stability for autonomous first-order ODEs.

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Mass-Spring-Damping Simulator

Simulate underdamped, critically damped, and overdamped motion in a spring system.

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Damped Pendulum Simulator

Explore the motion and phase portrait of a damped nonlinear pendulum.

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Forced Vibrations and Resonance

Observe transient and steady-state behavior, including resonance phenomena.

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Fourier Series Approximation

See how partial sums of sine and cosine terms approximate periodic functions.

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Linear Phase Portraits

Visualize trajectories for 2D linear systems based on eigenvalues.

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Nonlinear Phase Portraits

Explore vector fields and nullclines for nonlinear autonomous systems.

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Lotka-Volterra Model

Simulate classic predator-prey population cycles in phase space.

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Lotka-Volterra with Carrying Capacity

Extend the predator-prey model with logistic growth limits.

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Lorenz System

Visualize the famous chaotic attractor and sensitive dependence on initial conditions.

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Particle in a Cubic Potential

Study motion and phase space trajectories in an asymmetric potential well.

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Particle in a Double Well Potential

Explore bistability and tunneling-like behavior in a symmetric double well.

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Newton's Method

Animate the iterative root-finding process and observe convergence behavior.

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Plot Functions

Graph and compare multiple mathematical functions with customizable domains.

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