The following topics are immediate subtopics of Differential Equations.

Term: Amplitude Modulation
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 Definition: In electronic, the variation of the amplitude with time is called amplitude modulation.

Term: Analytic
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 Definition: A function f that has a Taylor Series expansion about x=x_0 with a radius of convergence p>0, is said to be analytic at x=x_0.

Term: Autonomous
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 Definition: An important class of first order equations consists of those in which the independent variable does not appear explicitly. Such equations are called autonomous and have the form dy/dt = (y).

Term: Basin Of Attraction
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 Definition: The set of points in the space of system variables such that initial conditions chosen in this set dynamically evolve to a particular attractor.

Term: Bessel's Equation
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 Definition: Bessel's equation is (x^2)y'' + xy' + (x^2  v^2)y = 0, where v is a constant.

Term: Bifurcation Point
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 Definition: For an equation of the form dy/dt = f(a,y), where a is a real parameter, the critical points (equilibrium solutions) usually depend on the value of a. As a steadily increases or decreases, it ofte...

Term: Boundary Conditions
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 Definition: Physical applications often lead to a type of problem, one in which the value of the dependent variable y or its derivative is specified at two different points. Such conditions are called boundar...

Term: Brachistochrone Problem
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 Definition: One of the famous problems in the history of mathematics is the brachistochrone problem: to find the curve along which a particle will slide without friction in the minimum time from one given poin...

Term: Chaos
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 Definition: "Chaos" is a tricky thing to define. In fact, it is much easier to list properties that a system described as "chaotic" has rather than to give a precise definition of chaos. So a simple, if sligh...

Term: Chebyshev Equation
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 Definition: The Chebyshev differential equation is (1x^2)y''  xy' + (a^2)y = 0, where a is constant.