Not sure I'd complete but this is for fun and aid my understanding :):)
Finally understood differentials and want to cement my understanding ???? not so sure though
but here is a snippet(header file) tho of the code hopefully as time goes on I'd put in codes to actually solve them
#ifndef DIFFERENTIALS_H
#define DIFFERENTIALS_H
#include <string>
// Function declarations
void analyzeSingleVariable();
void analyzeMultivariable();
void analyzeEquation();
#endif // DIFFERENTIALS_H