Rewrite the equation in new form: from y = f(k) to k = g(y)

Dear all,

I wonder how to do the following with Mupad:

- If I have an equation like y = (1-delta)/(1+n) + sigma*{(1+alpha)^t}/{(1+n)*k^(1-theta)} where k is variable, i.e, y = f(k). - I want to rewrite in term of variable k, saying, k = ... or k = g(y).

How to do that with Mupad functions. Thank you and best regards,

Answer 1

[John D'Errico]

In general, you cannot do so. This is what solve does (for the symbolic TB), but it is severely limited, as must be any such tool.

For example, consider the function

y = x^2

There is no single valued function of the form

x = f(y)

for that very simple relationship.