Word Count : 309

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We are asked to solve the differential equation numerically: [ (x + 1)\frac{dy}{dx} = 2e^{-y} - 1, \quad y(0) = 1 ] Step 1: Rewrite in standard form: [ \frac{dy}{dx} = \frac{2e^{-y} - 1}{x + 1} ] Step 2: Use the Euler method with step size (h). Let’s assume a small ______ _________ __________ _______ _____ __________ ______.
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