Search results
Results from the WOW.Com Content Network
Consider a linear non-homogeneous ordinary differential equation of the form = + (+) = where () denotes the i-th derivative of , and denotes a function of .. The method of undetermined coefficients provides a straightforward method of obtaining the solution to this ODE when two criteria are met: [2]
Originally conceived in 1988 by John W. Eaton as a companion software for an undergraduate textbook, Eaton later opted to modify it into a more flexible tool. Development began in 1992 and the alpha version was released in 1993. Subsequently, version 1.0 was released a year after that in 1994.
Ordinary differential equations occur in many scientific disciplines, including physics, chemistry, biology, and economics. [1] In addition, some methods in numerical partial differential equations convert the partial differential equation into an ordinary differential equation, which must then be solved.
Wolfram Alpha: Wolfram Research: 2009 2013: Pro version: $4.99 / month, Pro version for students: $2.99 / month, ioRegular version: free Proprietary: Online computer algebra system with step-by step solutions. Xcas/Giac: Bernard Parisse 2000 2000 1.9.0-99: May 2024: Free GPL: General CAS, also adapted for the HP Prime. Compatible modes for ...
Typically, it applies to first-order equations, though in general characteristic curves can also be found for hyperbolic and parabolic partial differential equation. The method is to reduce a partial differential equation (PDE) to a family of ordinary differential equations (ODE) along which the solution can be integrated from some initial data ...
Class of differential equation which may be solved exactly [2] Binomial differential equation (′) = (,) Class of differential equation which may sometimes be solved exactly [3] Briot-Bouquet Equation: 1 ′ = (,) Class of differential equation which may sometimes be solved exactly [4]
The method is named after Nathan M. Newmark, [1] former Professor of Civil Engineering at the University of Illinois at Urbana–Champaign, who developed it in 1959 for use in structural dynamics. The semi-discretized structural equation is a second order ordinary differential equation system,
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]