Differential Equation Solver (First And Second Order)
Differential Equation Solver (First And Second Order): a planned Super Calculator tool. Stub page while the tool and its worked example are prepared. Scope is.
Differential Equation Solver (First And Second Order) is a planned calculator in the mathematics section of Super Calculator, covering calculus.
What this calculator will compute
Inputs: equation, dependent and independent variables, initial or boundary conditions and numeric step size.
Outputs: general solution, particular solution, characteristic roots, solution type (overdamped, critically damped, underdamped) and numeric solution table.
Formula, recorded as scope and not yet verified against a primary source: First order separable, linear (integrating factor e^(integral P dx)) and exact equations solved in closed form. Second order linear constant-coefficient equations solved from the characteristic equation, with the three cases distinct real, repeated real and complex conjugate roots. Numeric fallback by fourth order Runge-Kutta.
Status
This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.
The stub carries noindex, nofollow and is excluded from the sitemap.