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Differential Equations
dx/dt = Ax
Beginner
A First Course in Differential Equations
Dennis G. Zill
Easy
Elementary Differential Equations and Boundary Value Problems
Boyce & DiPrima
Medium
Nonlinear Dynamics and Chaos
Steven Strogatz
Partial Differential Equations: An Introduction
Walter Strauss
Hard
Ordinary Differential Equations
V. I. Arnold
Advanced Mathematical Methods for Scientists and Engineers
Bender & Orszag
Extreme
Partial Differential Equations
Lawrence C. Evans