In the solution of the following differential equation at the initial condition ?(0) = 1 (? = 0 ?? ? = 1)a) Calculate the y value for ? = 0.3. (Take h=0.1 and solve with Heun's method.)b)Knowing that the analytical solution is -----------, | ??| Find the true relative percent error. Aşağıdaki diferansiyel denklemin y(0) = 1 (x = 0 da y = 1) başlangıç koşulundaki çözümündea) x = 0,3 için y değerini hesaplayınız. (h=0,1 alarak Heun metodu ile çözünüz.)b) Analitik çözümün y = (++ 1) olduğu bilindiğine göre | ɛ,l gerçek bağıl yüzde hatayıbulunuz.dx= (1+ x)/ỹdy

Heun's method uses the formula below to perform the iterations.…

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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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In the solution of the following differential equation at the initial condition ?(0) = 1 (? = 0 ?? ? = 1)
a) Calculate the y value for ? = 0.3. (Take h=0.1 and solve with Heun's method.)

b)Knowing that the analytical solution is -----------, | ??| Find the true relative percent error.

Aşağıdaki diferansiyel denklemin y(0) = 1 (x = 0 da y = 1) başlangıç koşulundaki çözümünde
a) x = 0,3 için y değerini hesaplayınız. (h=0,1 alarak Heun metodu ile çözünüz.)
b) Analitik çözümün y = (++ 1) olduğu bilindiğine göre | ɛ,l gerçek bağıl yüzde hatayı
bulunuz.
dx
= (1+ x)/ỹ
dy

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