Differential Equations Calculators

Analytic and step-by-step numerical solvers for the ordinary differential equations assigned in a first ODE course and used in dynamics, circuits and controls.

4 calculators in this category

Which one do you need?

Euler's Method Calculator
Step through an initial value problem with Euler's method or improved Euler (Heun). Get the full x-y step table and the error versus a reference.
Runge-Kutta RK4 Calculator
Solve dy/dx = f(x,y) with the classical fourth-order Runge-Kutta method. See k1 to k4 at every step, an error estimate, and a side-by-side comparison with Euler.
Laplace Transform Calculator
Transform f(t) into F(s) from the standard table, or invert a second-order F(s) by partial fractions. See the rules applied, the poles and the ROC.
First Order Linear ODE Calculator
Solve y' + P(x)y = Q(x) by the integrating factor method. Enter P, Q and an initial condition to get mu(x) and the solution at any x, with steps.

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