Differential Equations
by Shepley L. Ross · Shepley L. Ross
Shepley Ross's fourth-edition undergraduate text on ordinary differential equations, working through first-order methods, linear equations with constant coefficients, series solutions, Laplace transforms and systems. Emphasis falls on worked technique, so readers gain fluency in standard solution methods.
This link may earn us a small commission at no extra cost to you. Affiliate disclosure
More resources on Differential Equations
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT RES.18-009)
Short video lessons on ordinary differential equations, from first-order and second-order equations to Laplace transforms, linear systems, eigenvalues and matrix exponentials, alongside demonstrations of numerical solution with the MATLAB ODE suite. Includes 68 videos pairing analytical methods with practical computation.
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra (MIT RES.18-008)
Third part of a 1972 lecture series, covering complex variables, ordinary differential equations and linear algebra at the sophomore level. Provides 20 lecture videos (about 11.5 hours), study guides, supplementary notes and problem sets with solutions. Assumes single and multivariable calculus.
Differential Equations (MIT 18.03SC)
Modeling with ordinary differential equations and solving them: first-order equations, linear second-order equations and oscillations, Fourier series, Laplace transforms, and linear and nonlinear systems in the phase plane. Includes 72 lecture and recitation videos, course notes, and problem sets and exams with solutions.
Introduction to Differential Equations
Learn differential equations: explore methods for solving, modeling, and analyzing them. Taught by the Khan Academy Team.
Differential Equations
Learn differential equations with Paul Dawkins' comprehensive online course! Covers techniques for solving various DE types.