Plot implicit function python

Plotting Implicit Functions in Python

Plotting implicit functions can be achieved in Python using the Matplotlib library. Matplotlib is a versatile library for creating static, animated, and interactive visualizations in Python. To plot implicit functions, we need to solve the function for the dependent variable and then generate a set of points to plot.

Here’s an example of how to plot an implicit function:

Example: Plotting a Circle

Let’s plot a circle using the equation x² + y² = r².

Step 1: Import libraries

      
import numpy as np
import matplotlib.pyplot as plt
      
   

Step 2: Define the equation

      
def circle_eq(x, r):
    return np.sqrt(r**2 - x**2)
      
   

Step 3: Generate points

      
x = np.linspace(-5, 5, 100)
y_pos = circle_eq(x, 4)
y_neg = -circle_eq(x, 4)
      
   

Step 4: Plot the function

      
plt.plot(x, y_pos, 'b', label='Circle')
plt.plot(x, y_neg, 'b')
plt.xlabel('x')
plt.ylabel('y')
plt.title('Plotting Implicit Function: Circle')
plt.legend()
plt.grid(True)
plt.show()
      
   

Step 5: Output

The resulting plot will show a circle with a radius of 4 centered at the origin. The function circle_eq takes an array of x values and the radius of the circle as parameters and returns an array of y values that satisfy the equation.