Page 198 - Schaum's Outline of Differential Equations
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CHAP. 19] NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS 181
19.4. Use the Runge-Kutta method to solve / = y - x; y(0) = 2 on the interval [0, 1] with h = 0.1.
Here/(X y) = y - x. Using Eq. (19.5) with n = 0, 1, ... , 9, we compute
Continuing in this manner, we generate Table 19-3. Compare it with Table 19-1.
19.5. Use the Runge-Kutta method to solve / = y; y(0) = 1 on the interval [0,1] with h = 0.1.
Here/(X y) = y. Using Eq. (19.5) with n = 0, 1, ... , 9, we compute
n = 0:
