B. Use RK method to solve $y' = 2y + x$, $h=0.2$, $y(0)=0$, calculate error use $n=5$. (15 Marks)
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First, let's write the RK method formula for solving the given differential equation: k1 = h * (2y + x) k2 = h * (2(y + k1/2) + (x + h/2)) k3 = h * (2(y + k2/2) + (x + h/2)) k4 = h * (2(y + k3) + (x + h)) y(n+1) = y(n) + (k1 + 2k2 + 2k3 + k4)/6 Show more…
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