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Systems of Linear Differential Equations

In: A First Course in Ordinary Differential Equations

Author

Listed:
  • Martin Hermann

    (Friedrich Schiller University, Institute of Applied Mathematics)

  • Masoud Saravi

    (Islamic Azad University Nour Branch, Department of Mathematics)

Abstract

In Chap.5 systems of first-order differential equations are studied. For low-dimensional systems, elimination techniques using the D operator and Laplace transforms are presented. For larger systems, the matrix-vector notation is used and the solution of the homogeneous system is represented on the basis of the eigenvalues of the corresponding characteristic equation. For the determination of a particular solution of the inhomogeneous system, the method of variation of constants and the method of undetermined coefficients are described.

Suggested Citation

  • Martin Hermann & Masoud Saravi, 2014. "Systems of Linear Differential Equations," Springer Books, in: A First Course in Ordinary Differential Equations, edition 127, chapter 0, pages 119-144, Springer.
    • Handle: RePEc:spr:sprchp:978-81-322-1835-7_5
    DOI: 10.1007/978-81-322-1835-7_5
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