Procedure

1. Select the Differential Equation

   • Enter the differential equation in dy/dt format using ‘y’ as the dependent variable and ‘t’ as the independent variable.
   • Provide the initial condition by setting the initial time (t₀) and the initial value of the function (y₀).

2. Set the Solver Parameters

   • Specify the final time (tₙ) to define the interval for the solution.
   • Enter the number of steps to divide the interval into, which controls accuracy.

3. Choose a Numerical Method

   • Select Euler’s Method for a basic first-order approximation.
   • Select 4th Order Runge-Kutta Method for higher accuracy using multiple slope evaluations.

4. Run the Simulation

   • Click on the Simulate button to compute the solution of the ODE.

5. Analyze the Output

   • Observe the numerical results displayed in the output section.
   • View the plotted graph to analyze how the solution evolves over time.
   • Repeat with different step sizes or methods to compare accuracy and stability.