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Given the initial value problem f(x, y) = y² + x,y(0) = 0 and the step size 0.01, which is an accurate table of values for the solution for values of between 0 and 0.05? Select the correct answer below: n In Yn Yn-1 +hf(Tn-1, Yn-1) 00 0 0 0.01 0.03 0.06 0.1 Yn = Yn−1+hf(Tn-1, Yn-1) 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n In 0 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n 0 1 0.01 2 0.02 3 0.03 4 0.04 In 00 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n In 0 0 0.0001 0.0003 0.0006 0.001 Yn = Yn−1+hf(xn−11Yn-1) 0 0 0.0001 0.0003 0.0006 |Yn = Yn-1 +hf(In-1, Yn-1) 0 0 0.0002 0.0004 0.0006 0.0008

Given the initial value problem f(x, y) = y² + x,y(0) = 0 and the step size 0.01, which is an accurate table of values for the solution for values of between 0 and 0.05? Select the correct answer below: n In Yn Yn-1 +hf(Tn-1, Yn-1) 00 0 0 0.01 0.03 0.06 0.1 Yn = Yn−1+hf(Tn-1, Yn-1) 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n In 0 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n 0 1 0.01 2 0.02 3 0.03 4 0.04 In 00 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n In 0 0 0.0001 0.0003 0.0006 0.001 Yn = Yn−1+hf(xn−11Yn-1) 0 0 0.0001 0.0003 0.0006 |Yn = Yn-1 +hf(In-1, Yn-1) 0 0 0.0002 0.0004 0.0006 0.0008

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the initial value problem f(x,y) = y² + x,y(0) = 0 and the step size 0.01, which is an accurate table of values for the solution for values of between 0 and 0.05? Select the correct answer below: n In Yn Yn-1 +hf (Tn-1, Yn-1) 0 0 0 0 0.01 0.03 0.06 0.1 |Yn = Yn−1+hf(Tn-1, Yn-1) 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n 0 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 O n 0 1 0.01 2 0.02 3 0.03 4 0.04 In 0 n 0 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 0 0.0001 0.0003 0.0006 0.001 Yn = Yn-1 +hf(In-1, Yn-1) 0 0 0.0001 0.0003 0.0006 |Yn = Yn−1+hf(Tn-1, Yn–1) 0 0 0.0002 0.0004 0.0006 0.0008
Transcribed Image Text:Given the initial value problem f(x,y) = y² + x,y(0) = 0 and the step size 0.01, which is an accurate table of values for the solution for values of between 0 and 0.05? Select the correct answer below: n In Yn Yn-1 +hf (Tn-1, Yn-1) 0 0 0 0 0.01 0.03 0.06 0.1 |Yn = Yn−1+hf(Tn-1, Yn-1) 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 n 0 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 O n 0 1 0.01 2 0.02 3 0.03 4 0.04 In 0 n 0 0 1 0.01 O2 0.02 3 0.03 4 0.04 5 0.05 0 0.0001 0.0003 0.0006 0.001 Yn = Yn-1 +hf(In-1, Yn-1) 0 0 0.0001 0.0003 0.0006 |Yn = Yn−1+hf(Tn-1, Yn–1) 0 0 0.0002 0.0004 0.0006 0.0008
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