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  2. One-step method - Wikipedia

    en.wikipedia.org/wiki/One-step_method

    The Matlab function ode45 implements a one-step method that uses two embedded explicit Runge-Kutta methods with convergence orders 4 and 5 for step size control. [ 29 ] The solution can now be plotted, y 1 {\displaystyle y_{1}} as a blue curve and y 2 {\displaystyle y_{2}} as a red curve; the calculated points are marked by small circles:

  3. Van der Pol oscillator - Wikipedia

    en.wikipedia.org/wiki/Van_der_Pol_oscillator

    The Van der Pol oscillator was originally proposed by the Dutch electrical engineer and physicist Balthasar van der Pol while he was working at Philips. [2] Van der Pol found stable oscillations, [3] which he subsequently called relaxation-oscillations [4] and are now known as a type of limit cycle, in electrical circuits employing vacuum tubes.

  4. Numerical methods for ordinary differential equations - Wikipedia

    en.wikipedia.org/wiki/Numerical_methods_for...

    For example, the second-order equation y′′ = −y can be rewritten as two first-order equations: y′ = z and z′ = −y. In this section, we describe numerical methods for IVPs, and remark that boundary value problems (BVPs) require a different set of tools. In a BVP, one defines values, or components of the solution y at more than one ...

  5. List of nonlinear ordinary differential equations - Wikipedia

    en.wikipedia.org/wiki/List_of_nonlinear_ordinary...

    An example of a nonlinear delay differential equation; applications in number theory, distribution of primes, and control theory [5] [6] [7] Chrystal's equation: 1 + + + = Generalization of Clairaut's equation with a singular solution [8] Clairaut's equation: 1

  6. NYT ‘Connections’ Hints and Answers Today, Wednesday, January 8

    www.aol.com/nyt-connections-hints-answers-today...

    Related: The 26 Funniest NYT Connections Game Memes You'll Appreciate if You Do This Daily Word Puzzle Hints About Today's NYT Connections Categories on Wednesday, January 8 1.

  7. Georgia is turning to backup Gunner Stockton at quarterback ...

    www.aol.com/georgia-turning-backup-gunner...

    No. 2 Georgia is resting its national championship hopes on backup quarterback Gunner Stockton following Carson Beck's season-ending elbow surgery on Monday. Coach Kirby Smart said Monday that ...

  8. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    Mechanical examples include pendulums (with small angles of displacement), masses connected to springs, and acoustical systems. Other analogous systems include electrical harmonic oscillators such as RLC circuits. The harmonic oscillator model is very important in physics, because any mass subject to a force in stable equilibrium acts as a ...

  9. 2024 MLB Time Capsule: Looking back on everything that ... - AOL

    www.aol.com/sports/2024-mlb-time-capsule-looking...

    Jake Mintz and Jordan Shusterman are joined by Foolish Bailey to take a look back at some of the most unforgettable moments that happened in baseball before, during, and after the 2024 MLB season.