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

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Numerical Analysis
Example (2.3): solve the initial system ordinary differential equations by Runge- Kutta method
fi = y = V1-x+ 3z
f ='=x-siny ;z(0) = 2
¡y(Q) = 1
; h= 0.2 at x = 0.6
, χε (0,1]
(dordes
Xo =Dj X,=Xth=070.2=0.2
Transcribed Image Text:Example (2.3): solve the initial system ordinary differential equations by Runge- Kutta method fi = y = V1-x+ 3z f ='=x-siny ;z(0) = 2 ¡y(Q) = 1 ; h= 0.2 at x = 0.6 , χε (0,1] (dordes Xo =Dj X,=Xth=070.2=0.2
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