Solve separable dy/dx = g(x)·h(y) symbolically: H(y) = G(x) + C, explicit inversion, initial conditions, and partial fractions for quadratics like y(1−y).

Math & Numbers

Mass Flow Rate Converter (kg/s / lb/h / t/h)

Convert mass flow rate between kg/s (kilograms per second, SI base), lb/h (pounds per hour, 1 lb = 0.45359237 kg), and t/h (tonnes per hour, 1 t = 1000 kg). Converts via kg/s to the target unit and also lists the equivalent value in all three units for reference. Used for boiler feedwater, chemical dosing, fuel consumption, and compressed-gas metering.

Math & Numbers

Volumetric Flow Rate Converter (m³/h / L/min / gpm / cfm)

Convert volumetric flow rate between m³/h (cubic metres per hour), L/min (litres per minute), gpm (US gallons per minute, 1 gal = 3.785411784 L), and cfm (cubic feet per minute, 1 ft³ = 28.3168466 L). Converts via m³/s to the target unit and also lists the equivalent value in all four units for reference. Used for pumps, HVAC, compressed air, and piping.

Math & Numbers

F Distribution Calculator

Calculate F distribution density, cumulative probability, and right-tail probability from numerator and denominator degrees of freedom

Math & Numbers

Extended Euclidean Algorithm (ax + by = gcd(a, b))

Bézout coefficients for any-sign integers with the full division-step table, lcm, and optional linear Diophantine solving (particular + general solution).

Math & Numbers

Fatigue Limit Calculator (Goodman / Gerber / Soderberg)

Mean-stress fatigue correction under cyclic loading. Given stress amplitude σ_a, mean stress σ_m, and material σ_uts / σ_-1 (endurance limit) / σ_y, compute safety factors from three classical criteria: Modified Goodman (linear, conservative), Gerber (parabolic, better for ductile metals), and Soderberg (uses σ_y, most conservative). Reports the governing (smallest) value and whether the operating point lies inside the Goodman line.

Math & Numbers

Flywheel Energy Storage Calculator

Calculate the kinetic energy stored in a flywheel. E = ½·I·ω², ω = 2π·n/60. Enter the moment of inertia directly, or compute it from flywheel mass and radius (I = ½·m·r²). Supports J/kJ/Wh.

Math & Numbers

Fahrenheit to Kelvin

Convert Fahrenheit to Kelvin with configurable decimal precision

Math & Numbers

Feet to Yard

Convert feet to yards with configurable decimal precision