Differential Equations Quiz
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SERIES AND NUMERICAL METHODS
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One step of Heun's method is used to approximate y(0.5)y(0.5) for the IVP y′=2y−4xy' = 2y - 4x, y(0)=y0y(0) = y_0. With a step size of h=0.5h=0.5, the approximation obtained is y1=3y_1 = 3. What was the value of the initial condition y0y_0?
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