Airy's Equation

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Airy's Series: Cosine

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Airy's Series: Sine

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Bessel Equation

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Bessel Function: 1st Kind

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Boundary Values: Eigenvalues

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Boundary Values: Solvability and Uniqueness

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Chebyshev's Equation

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Chemical Oscillator

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Competitive Exclusion

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Critical Damping

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Damped Forced Vibrations

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Damped Vibrations

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Damped Vibrations: Energy

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Duffing Oscillator

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The Eigen Engine

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Falling Bodies

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Forced Damped Pendulum

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Forced Damped Pendulum: Nine Sections

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Forced Damped Pendulum: Poincaré Section

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Four Animation Paths

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Fourier Series: Coefficients

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Fourier Series: Gibbs Effect

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Fourier Series: Square Wave

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Fourier Series: Triangle Wave

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The Glider

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Golf

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Growth and Decay

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Hudson Bay Data (HareLynx)

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Imperfect Bifurcation

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Isoclines

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Isoclines as Fences

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Laplace: Convolution Example

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Laplace: Convolution Theorem

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Laplace: Definition

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Laplace: Delta Function

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Laplace: Derivative

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Laplace: Shift and Step

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Laplace: Shifting Theorem

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Laplace: Solver

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Laplace: Transformer

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Laplace: Translation

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Laplace: Vibrations and Poles

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Lissajous Figures

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Logistic Growth

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Logistic Phase Line

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Logistic with Harvest

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Lorenz Eq.: Discovery 1963

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Lorenz Eq.: Parameter Grid 0<r<30

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Lorenz Eq.: Phase Plane 0<r<30

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Lorenz Eq.: Phase Plane 0<r<320

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Lorenz Eq.: Sensitive Dependence

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Lorenz Eq.: Zmax Map

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LotkaVolterra

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LotkaVolterra with Harvest

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Maclaurin Series: e^t

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Maclaurin Series: Cosine

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Maclaurin Series: Sine

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Maclaurin Series: 1/sqrt(1+t)

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Mass and Spring

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Matrix Element Input

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The Matrix Machine

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Newton's Law of Cooling: Cooling Rate

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Newton's Law of Cooling: Curve Fitting

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Numerical Methods

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Numerical Methods: Stepsize Scaling

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Orthogonal Trajectories

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Parameter Path Animation

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Parameter Plane Input

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Parametric to Cartesian

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Pendulums

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Phase Plane Drawing

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Pitchfork Bifurcation: Subcritical

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Pitchfork Bifurcation: Supercritical

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Romeo and Juliet

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SaddleNode Bifurcation

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Series Circuits

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Simple Harmonic Oscillator

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Slope Fields

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Solutions

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Spruce Budworm: Cusp

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Spruce Budworm: Hysteresis

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Spruce Budworm: krPlane

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Spruce Budworm: rxPlane

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Spruce Budworm: Time Series

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SureFire Target

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Targets

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Time Steps

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Transcritical Bifurcation

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Two Dimensional Equations

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2D SaddleNode Bifurcation

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Uniqueness

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Van der Pol Circuit

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Vector Fields

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Vibrations: Amplitude Response

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Vibrations: Input/Output

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Vibrations: Phase Response

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