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We are asked to solve the differential equation: [ \frac{dy}{dx} + y = e^{-x}, \quad y(0) = 2 ] using the 2nd-order Runge-Kutta method (RK2) with step size (h = 1.0) up to (x = 2). --- ### Step 1: Standard RK2 formula For a differential equation (\frac{dy}{dx} = f(x, y)), the RK2 method is: [ k_1 = h f(x_n, y_n) ] [ k_2 = h f(x_n + h, y_n + k_1) ] [ y_{n+1} ___ _________ ______ ____ ___ ___ ________ _________.
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