Numerical Analysis Example (2.3): solve the initial system ordinary differential equations by Runge- Kutta methodfi = y = V1-x+ 3zf ='=x-siny ;z(0) = 2¡y(Q) = 1; h= 0.2 at x = 0.6, χε (0,1](dordesXo =Dj X,=Xth=070.2=0.2

Given that y'=1-x+3z ,y0=1, x∈0,1z'=x-siny ,z0=2 , h=0.2 at x=0.6

Answered: Example (2.3): solve the initial system…

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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Example (2.3): solve the initial system ordinary differential equations by Runge- Kutta method f₁=y' =√1-x+ 3z ¡y(0) = 1 ₁₂=²=x-siny ;z(0)=2 (Horder x € [0,1] ; h=0.2 at x = 0.6 x₂ = 0; X=X+h=0 +0.2=0.2 X=0.45 X3=0.6