Goode S. Differential Equations and Linear Algebra 4ed 2017

Textbook in PDF format

Differential Equations and Linear Algebra is designed for use in combined differential equations and linear algebra courses. It is best suited for students who have successfully completed three semesters of calculus.
Differential Equations and Linear Algebra presents a carefully balanced and sound integration of both differential equations and linear algebra. It promotes in-depth understanding rather than rote memorization, enabling readers to fully comprehend abstract concepts and leave the course with a solid foundation in key areas. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. The Fourth Edition includes many updated problems to support the material, with varying difficulty levels from which students/instructors can choose.
First-Order Differential Equations
Matrices and Systems of Linear Equations
Determinants
Vector Spaces
Inner Product Spaces
Linear Transformations
Eigenvalues and Eigenvectors
Linear Differential Equations of Order n
Systems of Differential Equations
The Laplace Transform and Some Elementary Applications
Series Solutions to Linear Differential Equations
Appendices:
Review of Complex Numbers
Review of Partial Fractions
Review of Integration Techniques
Linearly Independent Solutions to x^2y'' + xp(x)y' + q(x)y = 0
Answers to Odd-Numbered Exercises
Index (with direct page links)
Useful Tables & Info