ODE Solver vs Polynomial Regression

ODE Solver – Solve ordinary differential equations with ease. • Solve systems of ODEs with initial boundary conditions using the 4th-order Runge-Kutta method. • View results in interactive plots and lists, and export via email. • Enter variables easily using the ”$” prefix (e.g., $x, $u, $t) and let the app handle the calculations. Example: Typical Pendulum dx/dt = $u du/dt= -pi()**2/4*sin($x)-0.1*$u • Supports a full set of operators (+, -, *, /, **) and functions (sqrt, log, ln, exp). • Extensive trigonometric functions including sin, cos, tan, their inverses, reciprocals, and hyperbolic variations. • Built-in constants: π, π/2, π/4, e. • Smart entry fields: • Background changes red/green to highlight unpaired/paired parentheses. • Recognizes errors and displays warnings. • Custom keypad and cursor arrows for smooth formula editing. Perfect for engineers, students, and researchers who need fast, reliable ODE solutions on the go.

Polynomial Regression is your calculator and, more importantly, learning tool. You will be able to: * Construct polynomials of up to 20 degrees from either real or complex roots. * Interpolate polynomials from points by Lagrange, Newton or Vandermonde methods and Quadratic or Cubic splines. * Perform Least Squares approximation by orthogonal projection, with or without QR factorization, or partial derivatives. * Learn about each of the algorithms with derivations, proofs, step by step demonstrations, and visual tools. * Have an option to enter data by either typing or tapping on XY plane, and save data sets between program runs.