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Q28Section I (Objective (Q1–Q80))28 of 80

Numerical Analysis — error in forward Euler method

Forward Euler method is used to find numerical solution y1y_1 at x=0⋅2x = 0\cdot 2 with h=0⋅2h = 0\cdot 2 of the initial value problem dydx=−2xy2\frac{dy}{dx} = -2xy^2, y(0)=1y(0) = 1. What is ∣y(0⋅2)−y1∣|y(0\cdot 2) - y_1| approximately equal to?

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