i want to know how this marvelous concept of differential equations started. In today's world these equations are to most critical part of modelling of any physical systems. This is the great beauty of differential equations, but what is the foundation of these. what would be the starting problems that lead to the concept of these equations.

Question

i want to know how this marvelous concept  of differential equations started. In today's world these equations are to most critical part of modelling of any physical systems. This is the great beauty of differential equations, but what is the foundation of these. what would be the starting problems that lead to the concept of these equations.

anonymous · Answer

Differential equations arise naturally from calculus. http://mathforcollege.com/nm/mws/gen/08ode/mws_gen_ode_bck_primer.pdf The classical examples for introducing differential equations are circuits, springs, and other physical systems.