Page 211 - Schaum's Outline of Differential Equations
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194 NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS [CHAP. 19
Supplementary Problems
Carry all computations to three decimal places.
19.13. Use the modified Euler's method to solve y' = —y + x + 2; y(0) = 2 on the interval [0, 1] with h = 0.1.
19.14. Use the modified Euler's method to solve y' = -y; y(0) = 1 on the interval [0, 1] with h = 0.1.
19.15. Use the modified Euler's method to solve XI) = 3 on the interval [1,2] with h = 0.2.
19.16. Use the modified Euler's method to solve y' = x; y(2) = 1 on the interval [2, 3] with h = 0.25.
3
19.17. Use the modified Euler's method to solve y' = 4.x ; y(2) = 6 on the interval [2, 3] with h = 0.2.
19.18. Redo Problem 19.13 using the Runge-Kutta method.
19.19. Redo Problem 19.14 using the Runge-Kutta method.
19.20. Redo Problem 19.15 using the Runge-Kutta method.
19.21. Redo Problem 19.17 using the Runge-Kutta method.
19.22. Use the Runge-Kutta method to solve / = 5x ; y(0) = 0 on the interval [0, 1] with h = 0.1.
4
19.23. Use the Adams-Bashforth-Moulton method to solve y' = y; y(0) = 1 on the interval [0, 1] with h = 0.1.
19.24. Redo Problem 19.13 using the Adams-Bashforth-Moulton method.
19.25. Redo Problem 19.14 using the Adams-Bashforth-Moulton method.
19.26. Redo Problem 19.15 using the Adams-Bashforth-Moulton method.
19.27. Redo Problem 19.13 using Milne's method.
19.28. Redo Problem 19.14 using Milne's method.
