what is analytic solution
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- In mathematics, some problems can be solved analytically and numerically. An analytical solution involves framing the problem in a well-understood form and calculating the exact solution.
- A numerical solution means making guesses at the solution and testing whether the problem is solved well enough to stop.
- "Analytically" comes from the same root as "analysis," which in mathematics loosely means the study of the properties of objects.
- In this case, analytically solving an equation means finding a solution simply by exploiting known rules: addition and subtraction, associativity, commutativity, etc.
- Analytic Methods. The use of algebraic and/or numeric methods as the main technique for solving a math problem.
- The instructions "solve using analytic methods" and "solve analytically" usually mean that no calculator is allowed.
- Numerical methods use exact algorithms to present numerical solutions to mathematical problems.
- Analytic methods use exact theorems to present formulas that can be used to present numerical solutions to mathematical problems with or without the use of numerical methods.
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An analytical solution involves framing the problem in a well-understood form and calculating the exact solution. A numerical solution means making guesses at the solution and testing whether the problem is solved well enough to stop.
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