Some 50-years ago, I was designing Radio receiver using the Slide Rule, the ONLY available tool at that time. This matter took from me several days to solve only a few equations. To day using Mathcad Prime 2.0 helps tremendously to make calculations far more easier with a solving time of only a few micro-seconds! using the Solve Block.
This worksheet shows the design of the Signal-Oscillator Tracking Circuit only of old Radio backdated to the 1940th of the last century.
Fine work!
But I think the radio calculation is more odes solutions.
See please http://communities.ptc.com/message/222886
and about slide rules http://communities.ptc.com/message/198472