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Symbolab. 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.
Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.
The step potential is simply the product of V0, the height of the barrier, and the Heaviside step function : The barrier is positioned at x = 0, though any position x0 may be chosen without changing the results, simply by shifting position of the step by − x0 . The first term in the Hamiltonian, is the kinetic energy of the particle.
The conclusion of this computation is that =.The exact solution of the differential equation is () =, so () =.Although the approximation of the Euler method was not very precise in this specific case, particularly due to a large value step size , its behaviour is qualitatively correct as the figure shows.
Successor to Derive. Based on Derive's engine used in TI-89/Voyage 200 and TI-Nspire handheld. 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.
Linear multistep method. Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an initial point and then takes a short step forward in time to find the next solution point. The process continues with subsequent steps to map out the solution.
The step size is =. The same illustration for = The midpoint method converges faster than the Euler method, as .. Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs).
Heun's method. In mathematics and computational science, Heun's method may refer to the improved [1] or modified Euler's method (that is, the explicit trapezoidal rule [2] ), or a similar two-stage Runge–Kutta method. It is named after Karl Heun and is a numerical procedure for solving ordinary differential equations (ODEs) with a given ...
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