You can do that but it's kind of overkill. With analog computing you think in the time domain with differential equations, and accuracy is more important than speed.

With synthesizers you think mostly in the frequency domain and speed is more important than accuracy. Integrators from AC become lowpass filters, adders become mixers*, multipliers become ring modulators, etc.

* In audio, a "mixer" is an adder. In RF a mixer is a multiplier.