6. Initial Value Problems for Ordinary Differential Equations

This chapter was last revised on October 22, 2025.

References:

• [Chasnov, 2012] Chapter 7, Ordinary differential equations.

• [Sullivan, 2021] Chapter 5, Ordinary Differential Equations

• [Sauer, 2022] Chapter 6 Ordinary Differential Equations.

• [Burden et al., 2016] Chapter 5 Initial-Value Problems for Ordinary Differential Equations.

• [Chenney and Kincaid, 2013] Chapter 7, Initial-Value Problems, Sections 2 to 5.

• [Dionne, 2023] Chapter 13, Initial-Value Problems.

• [Kincaid and Chenney, 1990] Chapter 8, Numerical Solution of Ordinary Differential Equations, Sections 0 to 6.

• [Dahlquist and Björck, 2008] Section 1.4, Numerical Solution of Differential Equations.

• [Gear, 1971], in particular Chapters 1 to 5, and 7.