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Ordinary Differential Equations Index
Click on a term or phrase for definitions, information and examples.
actual solution
Adams-Bashforth-Moulton method
analytical methods
autonomous equation
boundary condition
boundary value problem
carrying capacity
closed solution
closed-form solution
difference equation
differential
differential equation
differential form
differential notation
direction field
domain of a solution
dot notation
elementary function
environmental carrying capacity
equilibrium solution
Euler’s method
explicit solution
families of solutions
first-order equation
general form
general solution
homogeneous equation
implicit function
implicit solution
inhomogeneous equation
initial condition
initial value problem
integral curve
integral form
interval of existence
interval of validity
isocline
Landau equation
Leibniz notation
lineal element
linear equation
logistic equation
Lotka-Volterra equations
Malthusian population model
Milne’s method
modeling
Newton’s second law of motion
nonautonomous equation
nonhomogeneous equation
nonlinear equation
nonlinear system
notation
n
-parameter family of solutions
nullcline
numerical methods
one-dimensional heat equation
one-dimensional wave equation
one-parameter family of solutions
operator notion
order
ordinary differential equation
parameter
partial differential equation
particular solution
predator-prey equations
prime notation
qualitative behavior
qualitative methods
rate function
Runge-Kutta method
saturation level
separable equation
separable variables
separating variables
singular solution
slope field
slope function
standard form
subscript notation
tangent segment
trivial solution
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