Page 199 - Schaum's Outline of Differential Equations

182 NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS [CHAP. 19

Table 19-3

Method: RUNGE-KUTTA METHOD

Problem: y' = y-x; y(0) = 2
h = 0.1 True solution
x n
y n Y(x) = e + x+l
x
0.0 2.0000000 2.0000000
0.1 2.2051708 2.2051709

0.2 2.4214026 2.4214028
0.3 2.6498585 2.6498588

0.4 2.8918242 2.8918247
0.5 3.1487206 3.1487213

0.6 3.4221180 3.4221188
0.7 3.7137516 3.7137527

0.8 4.0255396 4.0255409
0.9 4.3596014 4.3596031

1.0 4.7182797 4.7182818