• A First Course in Differential Equations with Modeling Applications, 12th Edition

• Edition: 12th Edition
• ISBN-13: 9780357760192
• Publisher: Cengage Learning
• Focuses on modeling applications of differential equations.
• Covers first-order differential equations, second-order linear differential equations, systems of differential equations, and Laplace transforms.
• Balances analytical, qualitative, and quantitative approaches.
• Incorporates real-world applications and modeling scenarios.
• Includes numerous worked examples and a wide range of exercises.
• Integrates technology to aid in visualization and computation.
• Assumes a solid foundation in calculus.

A First Course in Differential Equations with Modeling Applications, 12th Edition provides a modern introduction to differential equations for students in science, engineering, and mathematics. Emphasizing real-world applications, it covers first-order and second-order equations, systems of equations, and Laplace transforms. Clear explanations, examples, and comprehensive exercise sets make it an excellent resource for students learning differential equations.