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Runge-Kutta Use the RK 4th method with h= 0.5 to salve from x = 0 to x = 1. It is known that ylO) = 1. - (1+ 20),5 (a) RK4th equation 1 Yin = y +(k, + 2kz + 2k, + k)h (b) At xo = 0, yu = (c) Calculate k, = (d) Calculate x +0 Sh = (e) y + 0.5ksh = 1.25 (f) Calculate k= (g) Calculate x+ 0 Sh = (h) y + 0Skh = 1.4193 1) Calculate k, = ) Calculate x +h= (k) Calculate y + k,h = (1) Calculate k4 = (m) y = 189 (n) Repeat steps (b-m) to fill the table. i y k1 x+ 0.Sh y+ 0.Skyh x+ 0.Sh y. 0.5kah ks y. kah k4 1 0.25 0.25 2.7521 as 2.7496 0.75 4.2525 6.0122 2 1. 3.9978

Runge-Kutta Use the RK 4th method with h= 0.5 to salve from x = 0 to x = 1. It is known that ylO) = 1. - (1+ 20),5 (a) RK4th equation 1 Yin = y +(k, + 2kz + 2k, + k)h (b) At xo = 0, yu = (c) Calculate k, = (d) Calculate x +0 Sh = (e) y + 0.5ksh = 1.25 (f) Calculate k= (g) Calculate x+ 0 Sh = (h) y + 0Skh = 1.4193 1) Calculate k, = ) Calculate x +h= (k) Calculate y + k,h = (1) Calculate k4 = (m) y = 189 (n) Repeat steps (b-m) to fill the table. i y k1 x+ 0.Sh y+ 0.Skyh x+ 0.Sh y. 0.5kah ks y. kah k4 1 0.25 0.25 2.7521 as 2.7496 0.75 4.2525 6.0122 2 1. 3.9978

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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Runge-Kutta Use the RK 4th method with h= 0.5 to salve from x = 0 to x = 1. It is known that ylO) = 1. - (1+ 20),5 (a) RK4th equation 1 Yin = y +(k, + 2kz + 2k, + k)h (b) At xo = 0, yu = (c) Calculate k, = (d) Calculate x +0 Sh = (e) y + 0.5ksh = 1.25 (f) Calculate k= (g) Calculate x+ 0 Sh = (h) y + 0Skh = 1.4193 1) Calculate k, = ) Calculate x +h= (k) Calculate y + k,h = (1) Calculate k4 = (m) y = 189 (n) Repeat steps (b-m) to fill the table. i y k1 x+ 0.Sh y+ 0.Skyh x+ 0.Sh y. 0.5kah ks y. kah k4 1 0.25 0.25 2.7521 as 2.7496 0.75 4.2525 6.0122 2 1. 3.9978
Transcribed Image Text:Runge-Kutta Use the RK 4th method with h= 0.5 to salve from x = 0 to x = 1. It is known that ylO) = 1. - (1+ 20),5 (a) RK4th equation 1 Yin = y +(k, + 2kz + 2k, + k)h (b) At xo = 0, yu = (c) Calculate k, = (d) Calculate x +0 Sh = (e) y + 0.5ksh = 1.25 (f) Calculate k= (g) Calculate x+ 0 Sh = (h) y + 0Skh = 1.4193 1) Calculate k, = ) Calculate x +h= (k) Calculate y + k,h = (1) Calculate k4 = (m) y = 189 (n) Repeat steps (b-m) to fill the table. i y k1 x+ 0.Sh y+ 0.Skyh x+ 0.Sh y. 0.5kah ks y. kah k4 1 0.25 0.25 2.7521 as 2.7496 0.75 4.2525 6.0122 2 1. 3.9978
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