ASL STEM

Direction Fields Sign Video

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Definition

Direction fields are used in studying the solutions of differential equations in form of dy/dt = f(t,y). A direction field can be constructed by evaluating f at each point of a rectangular grid. At each point of the grid, a short line segment is drawn whose slope is the value of f at that point.

Source: Elementary Differential Equations and Boundary Value Problems - William Boyce & Richard DiPrima

Example

For the image : http://www.personal.psu.edu/ sul168/images/directionfield1.jpg

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BROWSE

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> Mathematics

> Differential Equations

> Direction Fields

+ Critical Point

- Direction Fields *

+ Initial Value Problem *

+ Initial Condition *

+ Integrating Factor *

+ Equilibrium Solution *

+ Rate Function *

+ General Solution *

+ Integral Curve *

+ Ordinary Differential Equation *

+ Partial Differential Equation *

+ Linearization *

+ First Order Linear Equation *

+ Phase Plane *

+ Environmental Carrying Capacity *

+ Semistable Equilibrium Solution *

+ Bifurcation Point *

+ Euler Method *

+ Difference Differential Equation *

+ Singular Point *

+ Nonhomogeneous *

+ Principle Of Superposition *

+ Wronskian Determinant *

+ Fundamental Set Of Solutions *

+ Variation Of Paramters *

+ Quasi Period *

+ Amplitude Modulation *

+ Quasi Frequency *

+ Euler Equation *

+ Regular Singular Point *

+ Irregular Singular Point *

+ Hermite Equation *

+ Chebyshev Equation *

+ Ordinary Point *

+ Legendre Equation *

+ Indicial Equation *

+ Bessel's Equation *

+ Laplace Transform *

+ Heaviside Step Function *

+ Unit Step Function *

+ Delta Function *

+ Transfer Function *

+ Simple Eigenvalue *

+ Phase Portrait *

+ Fixed Point Node *

+ Stable Node *

+ Unstable Node *

+ Improper Node *

+ Spiral Point *

+ Similarity Transformation *

+ Heun's Method *

+ Predictor Corrector Method *

+ Spiral Source *

+ Spiral Sink *

+ Basin Of Attraction *

+ Orbital Stability *

+ Strange Attractor *

+ Fourier Sine Series *

+ Heat Conduction Equation *

+ Thermal Diffusivity *

+ Boundary Conditions *

+ Two Point Boundary Value Problem *

+ Eigenfunctions *

+ Mutually Orthogonal *

+ Fourier Cosine Series *

+ Wave Equation *

+ Natural Frequency *

+ Natural Mode *

+ Laplace's Equation *

+ Potential Equation *

+ Dirichlet Problem *

+ Neumann Problem *

+ Lagrange's Identity *

+ Sturm Liouville Equation *

+ Continuous Spectrum *

+ Collocation Method *

+ Mean Squared Error *

+ Brachistochrone Problem *

+ Lyapunov Function *

* video needed

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