Use this tool to easily solve separable differential equations step-by-step, providing you with quick and accurate solutions.
Separable Differential Equations Calculator
This calculator provides an approximate solution for separable differential equations using Euler’s method. It requires you to input the differential equation in the form of dy/dx and the initial conditions. The result is an estimate of y at a specified x-value.
How to Use the Calculator
- Enter the differential equation as a function of x and y in the first input field (e.g., “x*y”).
- Type in the initial x value.
- Type in the initial y value corresponding to the initial x.
- Enter the x value for which you want to estimate y.
- Click on “Calculate” to obtain the result.
How It Calculates the Results
The calculator uses Euler’s method for solving the differential equation numerically. It starts at the initial conditions and takes small steps (of a fixed size) towards the target x value. At each step, it uses the current slope (given by the differential equation) to estimate the change in y.
Limitations
This calculator uses a fixed step size and Euler’s method, which can lead to inaccuracies for stiff equations or those requiring high precision. It is recommended for educational purposes and quick estimations rather than precision engineering.