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Found an example in the docs after posting this... Solving Differential Equations
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Found I found an example in the docs after posting this... asking: Solving Differential Equations
Applying to the example given in the question though:
var("x")
f = function("f")(x)
g = x * f
g.diff(x)
Output:
x*diff(f(x), x) + f(x)
