This app uses the Modified Euler method to numerically approximate the solution of the initial value problem
$\qquad y' = \dfrac{\mathrm{d} y}{\mathrm{d} t} = f(t, y), \quad a \leq t \leq b, \quad y(a) = \alpha.$
and plots the results on a graph for visualization purposes.

1
ODE equation to be numerically solved. The exact solution can also be included if it exists.
2
Start and end time points respectively.
3
Value of dependent variable at time zero, $y_{0} = y(t_{0})$.
4
Either the number of steps, $n$ specified as an integer or the step-size, $h$ where $t_{0} < h < t_{f}$.
5
Runge-Kutta method be used to solve the ODE equation numerically.
6
Number of iterations to display.
7
Decimal points to display (does not affect internal precision).

Enter your valid inputs then click to display results.

Our applications use latest technologies to bring computational power to the web, and are the result of 10+ years of lecturing, training, research, programming and development.

Enter your valid inputs then click to display Python syntax.

Our applications use latest technologies to bring computational power to the web, and are the result of 10+ years of lecturing, training, research, programming and development.