Explanation:

The Analytical Engine was a mechanical general-purpose computer designed by Charles Babbage ($ \text{c} $) in the 19th century. It was a revolutionary design that included an arithmetic logic unit, control flow in the form of conditional branching and loops, and integrated memory, making it a conceptual precursor to modern computers. Option (a) Ada Lovelace is recognized for her work on the Analytical Engine, particularly for writing what is considered the first computer program, but she did not develop the engine itself. Option (b) Howard Aiken developed the Harvard Mark I, an electro-mechanical computer, much later. Therefore, Charles Babbage is the sole developer of the Analytical Engine.