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Q5) Use 4th-order Runge Kutta method hf(tn, Vn), 1 hf (tn + h, Yn +5k kz kg = hf (tn +h, yn + k4 = hf(tn + h, Yn + k3), 1 Un +1 Yn + (kı + 2k2 + 2k3 + ka). with h=1/4 to compute approximate value of y(1) for the initial-value problem below. y'(1) = y(1+e"), y(0) =1 Fill in the Table below. k, k. x100% 1 1/4 2 1/2 3/4 4 1

Q5) Use 4th-order Runge Kutta method hf(tn, Vn), 1 hf (tn + h, Yn +5k kz kg = hf (tn +h, yn + k4 = hf(tn + h, Yn + k3), 1 Un +1 Yn + (kı + 2k2 + 2k3 + ka). with h=1/4 to compute approximate value of y(1) for the initial-value problem below. y'(1) = y(1+e"), y(0) =1 Fill in the Table below. k, k. x100% 1 1/4 2 1/2 3/4 4 1

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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Q5) Use 4th-order Runge Kutta method ki hf(tn, Yn), k2 = hf (tn +h, Yn +5ki k3 hf (tn + Yn +k2 k4 hf(t, +h, Yn + k3), Yn+1 Yn + (kı + 2k2 + 2kg + k4). with h=1/4 to compute approximate value of y(1) for the initial-value problem below. y'(1)= y(1+e*), y(0) =1 Fill in the Table below. -y. k, Ya+1 x100% 1 1/4 1/2 3 3/4 4 1
Transcribed Image Text:Q5) Use 4th-order Runge Kutta method ki hf(tn, Yn), k2 = hf (tn +h, Yn +5ki k3 hf (tn + Yn +k2 k4 hf(t, +h, Yn + k3), Yn+1 Yn + (kı + 2k2 + 2kg + k4). with h=1/4 to compute approximate value of y(1) for the initial-value problem below. y'(1)= y(1+e*), y(0) =1 Fill in the Table below. -y. k, Ya+1 x100% 1 1/4 1/2 3 3/4 4 1
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