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Solve the differential equation: . Find the particular solution satisfying the condition when .

Mathematics20256 marksShort answer
Solve the differential equation: $x(x - 1)\frac{dy}{dx} - y = x^2(x - 1)^2$. Find the particular solution satisfying the condition $y = 0$ when $x = 2$.

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Differential Equations

From ISC 2025 Improvement Mathematics Paper 1, question 12(i).