First-Order Differential Equation System Solver

Let \(y = y(t)\) and \(z = z(t)\). This tool numerically solves systems of first-order differential equations of the form \(\frac{dy}{dt} = f_1(t, y, z)\), \(\frac{dz}{dt} = f_2(t, y, z)\). You may use the following functions and constants:

Function names: pow(t,a), sin(t), cos(t), tan(t), log(t), exp(t), abs(t), asin(t), acos(t), atan(t), sqrt(t)

Constants: pi, esay (Euler's number \(e\)), LN2, LN10, Log2e, Log10e

Use a decimal point for floating-point values (e.g., 1.0).

Number of equations

Numerical method

Output

Show intermediate results Show only the final value

\(t_0\)

Initial values \(y_0, z_0, \dots\)

Target value \(t_n\)

Step size \(\Delta t\)

Results