1. Consider the ordinary differential equation = (1-x-¹)y, with the initial values x = 1, y = 1. Integrate from x = 1 to 4 with h = 0.5 (a) analytically; Numerically using (b) Heun's method without iteration; (c) 2nd-order RK method: Ralston method; 4th da DK m

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Consider the ordinary differential equation = (1-x-¹)y, with the initial values x = 1, y = 1.
Integrate from x = 1 to 4 with h = 0.5
(a) analytically;
Numerically using
(b) Heun's method without iteration;
(c) 2nd-order RK method: Ralston method;
(d) classical 4th-order RK method;
Transcribed Image Text:1. Consider the ordinary differential equation = (1-x-¹)y, with the initial values x = 1, y = 1. Integrate from x = 1 to 4 with h = 0.5 (a) analytically; Numerically using (b) Heun's method without iteration; (c) 2nd-order RK method: Ralston method; (d) classical 4th-order RK method;
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