How can I create animations using SymPy for plotting?

How can I create animations using SymPy for plotting?

You can create animations in SymPy using the plot function along with animate. Would you like a code example?

Yes, please provide a code example for animating a sine wave.

Here's a simple example:

from sympy import symbols, sin, pi
from sympy.plotting import plot, animate

x = symbols('x')

# Create a sine wave animation
anim = animate(plot(sin(x + t), (x, -2*pi, 2*pi)), (t, 0, 2*pi))
anim.show()

This will animate the sine wave as it shifts over time.

That looks great! Can I customize the speed of the animation?

Yes, you can customize the speed by adjusting the range and step size in the animate function. Would you like to see how?

Absolutely, show me how to adjust the speed.

You can change the step size in the animate function. For example:

anim = animate(plot(sin(x + t), (x, -2*pi, 2*pi)), (t, 0, 2*pi, 0.1))

This will make the animation faster by reducing the time between frames.