Differential Equations

tool index

Tool Index

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

[A]
	Airy's Equation
	Airy's Series: Cosine
	Airy's Series: Sine
[B]
	Bessel Equation
	Bessel Function: 1st Kind
	Boundary Values: Eigenvalues
	Boundary Values: Solvability and Uniqueness
[C]
	Chebyshev's Equation
	Chemical Oscillator
	Competitive Exclusion
	Critical Damping
[D]
	Damped Forced Vibrations
	Damped Vibrations
	Damped Vibrations: Energy
	Duffing Oscillator
[E]
	The Eigen Engine
[F]
	Falling Bodies
	Forced Damped Pendulum
	Forced Damped Pendulum: Nine Sections
	Forced Damped Pendulum: Poincaré Section
	Four Animation Paths
	Fourier Series: Coefficients
	Fourier Series: Gibbs Effect
	Fourier Series: Square Wave
	Fourier Series: Triangle Wave
[G]
	The Glider
	Golf
	Growth and Decay
[H]
	Hudson Bay Data (Hare-Lynx)
[I]
	Imperfect Bifurcation
	Isoclines
	Isoclines as Fences
[L]
	Laplace: Convolution Example
	Laplace: Convolution Theorem
	Laplace: Definition
	Laplace: Delta Function
	Laplace: Derivative
	Laplace: Shift and Step
	Laplace: Shifting Theorem
	Laplace: Solver
	Laplace: Transformer
	Laplace: Translation
	Laplace: Vibrations and Poles
	Lissajous Figures
	Logistic Growth
	Logistic Phase Line
	Logistic with Harvest
	Lorenz Eq.: Discovery 1963
	Lorenz Eq.: Parameter Grid 0<r<30
	Lorenz Eq.: Phase Plane 0<r<30
	Lorenz Eq.: Phase Plane 0<r<320
	Lorenz Eq.: Sensitive Dependence
	Lorenz Eq.: Zmax Map
	Lotka-Volterra
	Lotka-Volterra with Harvest
[M]
	Maclaurin Series: e^t
	Maclaurin Series: Cosine
	Maclaurin Series: Sine
	Maclaurin Series: 1/sqrt(1+t)
	Mass and Spring
	Matrix Element Input
	The Matrix Machine
[N]
	Newton's Law of Cooling: Cooling Rate
	Newton's Law of Cooling: Curve Fitting
	Numerical Methods
	Numerical Methods: Stepsize Scaling
[O]
	Orthogonal Trajectories
[P]
	Parameter Path Animation
	Parameter Plane Input
	Parametric to Cartesian
	Pendulums
	Phase Plane Drawing
	Pitchfork Bifurcation: Subcritical
	Pitchfork Bifurcation: Supercritical
[R]
	Romeo and Juliet
[S]
	Saddle-Node Bifurcation
	Series Circuits
	Simple Harmonic Oscillator
	Slope Fields
	Solutions
	Spruce Budworm: Cusp
	Spruce Budworm: Hysteresis
	Spruce Budworm: kr-Plane
	Spruce Budworm: rx-Plane
	Spruce Budworm: Time Series
	Sure-Fire Target
[T]
	Targets
	Time Steps
	Transcritical Bifurcation
	Two Dimensional Equations
	2-D Saddle-Node Bifurcation
[U]
	Uniqueness
[V]
	Van der Pol Circuit
	Vector Fields
	Vibrations: Amplitude Response
	Vibrations: Input/Output
	Vibrations: Phase Response