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Solve using Milne’s method

9.C] Given $\frac{dy}{dx} = xy + y^2,\quad y(0) = 1,\quad y(0.1) = 1.1169,\quad y(0.2) = 1.2773,\quad y(0.3) = 1.5049$ Find $y(0.4)$ using Milne’s method

Answer:

Given <span class="wp-katex-eq" data-display="false"> \frac{dy}{dx} = xy + y^2,\quad y(0) = 1,\quad y(0.1) = 1.1169,\quad y(0.2) = 1.2773,\quad y(0.3) = 1.5049 </span> Find <span class="wp-katex-eq" data-display="false"> y(0.4) </span> using Milne’s method

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