You can use the plot_vector_field command:
# Declare your variables:
var('x t')
# Define you function, for instance:
def f(t,x):
return t*x
# Plot the associated vector field:
plot_vector_field((lambda t, x: 1, f(t,x)), (-1, 1), (-2, 2))
There seems to be something awry, however, compare
plot_vector_field((lambda t, x: 1, x), (-1, 1), (-2, 2))
plot_vector_field((lambda t, x: 1, x + 0.001*t), (-1, 1), (-2, 2))
(the second one is what one expects for the differential equation x' =
x)
Why does the vector field look so different when it depends only on
one coordinate?
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