![]() My question is: how does it do this I am planning on creating a program to find solutions to functional equations (doesn't have to be anything too fancy - start with just testing for polynomial solutions, etc.). ![]() For example, it knows how to solve equations like this. DSolve can solve ordinary differential equations (ODEs), partial differential equations (PDEs), differential algebraic equations (DAEs), delay differential equations (DDEs), integral equations, integro-differential equations, and hybrid differential equations. Free Online Equation Calculator helps you to solve linear, quadratic and polynomial systems of equations. Wolfram Alpha is able to solve a few basic functional equations.Use of the WolframAlpha website is explicitly off-topic on the Mathematica SE, however. So the lesson isn't so much "don't use Alpha" as it is "be sure you're computing to sufficient precision for the numbers involved. In fact, the use of mathematical software tools is explicitly listed as on topic in the faq and there is a wolfram-alpha tag. On the other hand, if I set the real precision of PARI to be 16 digits, then PARI returns the real root 399757627176339.0, so one could possibly be fooled in PARI, too. Diophantine equations with irrational coefficients. ![]() Version 12 provides functionality for solving several new classes of equation and inequality systems. Is 399757627176339.01632510004931888021305, so one can see it's not an integer. If you arent familiar with it, Wolfram Alpha is a powerful online tool for calculations and other fun (for example. WOLFRAM COMMUNITY Connect with users of Wolfram technologies to learn, solve problems and share ideas Join Dashboard Groups Groups Equation Solving Symbolic and numerical equation solving and root finding, differential equations, recurrence and functional equations, systems of equations, linear systems, visualization of solutions. Solve More Equation and Inequality Systems. Wolfram Universal Deployment System Instant deployment across cloud, desktop. the system of Theorem) equations (4.6) has an Let integer p1, ,p solution n be integers x with gcd Z. lf you try to solve a polynomial equation and the. In PARI with precision set to 38 decimal digits, the real root of Wolfram Data Framework Semantic framework for real-world data. An Algorithm-Oriented Introduction Wolfram Koepf. The DOS version of Mathematica oflers only a command-line interface. ![]() I think that the issue is that the default precision in Mathematica is not set high enough to handle these numbers when doing real calcualtions. (1) where is the Malthusian parameter (rate of maximum population growth) and is the so-called carrying capacity (i.e., the maximum sustainable population). The form above gives the wave equation in three-dimensional space where is the Laplacian, which can also be written (2) An even more compact form is given by (3) where is the dAlembertian, which subsumes the second time derivative and second space derivatives into a single operator. Not that I'm a great fan of Mathematica, but Wolfram Alpha yields the same thing as Will Jagy got with PARI: Compute expert-level answers using Wolfram’s breakthrough algorithms, knowledgebase and AI technology.
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