TITLE: Book recommendation on the history of PDE/ODE?
QUESTION [5 upvotes]: I would like to know something like what's the first PDE etc. 
Could you recommend book on the history of PDE/ODE?
thanks.

REPLY [2 votes]: SIAM (The Society for Industrial and Applied Mathematics) has collected some oral interviews and other materials that have some bearing on the history of ordinary and partial differential equations:
http://history.siam.org/
There is also a lot of material on this topic that is related to more specialized historical studies:
History of Hydraulics by Hunter Rouse and Simon Ince
A History of the Theory of Elasticity and of the Strength of Materials ...
by Isaac Todhunter
and work on the Euler equations and the Navier-Stokes equations.