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Problem 2 : Function inversion Recall that a differential analyzer ( for our purposes ) consists only of parts that compute summation, multiplication, and integration.

Problem 2: Function inversion
Recall that a differential analyzer (for our purposes) consists only of parts that compute summation, multiplication, and integration. Diagrams as shows in class can be used to draw the connections between the components.
You have configured a differential analyzer computer to generate some function f(t). In particular, you can assume that f(t) is the output shaft of some integrator (where t is the variable of integration). With as little modification as possible, describe how to re-wire the differential analyzer to generate the inverse function f-1(t).(That's function inverse, not power of -1.) Draw the diagram.
You can assume that the inverse exists and all the preconditions of the Inverse Function Theorem (hint!) are satisfied for f.
Hint: Note that the variable of integration for an integrator in a differential analyzer doesn't have to be t but could be a variable output by another component.
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