Differential Equation Solver
Enter a derivative expression in x, y and, for second order, v. The browser evaluates a bounded RK4 solution without symbolic algebra.
Differential Equation Solver
Solution chart
Computed values
| x | y | v = y′ |
|---|
A QUICK WALKTHROUGH
How to use this tool
- Choose first- or second-order mode and enter the derivative.
- Set finite initial values, an end point, and 10–2,000 steps.
- Solve locally, inspect the sampled path, and download CSV.
Numeric initial-value solver
This tool advances from the supplied initial state with classic fourth-order Runge–Kutta. It does not derive a formula, prove uniqueness, or handle boundary-value problems.
Expression and resource limits
Expressions allow x, y, v, pi, e, arithmetic, parentheses, sin, cos, tan, sqrt, exp, ln, log and abs. Runs stop on non-finite values; the table and CSV contain at most 2,001 rows.
GOOD TO KNOW
Common questions
Is the result exact?
No. It is a floating-point numerical approximation whose error depends on the equation and step size.
Does the equation leave my device?
No. Parsing, integration, charting and CSV creation happen in this browser.