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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

Match the contents of **Column-I (Differential equation)** to **Column-II Solution (Integral curves)**: Column I Column II (A) y - x dy dx = y^2 + dy dx (P) y = A₁ x^2 + A₂ x + A₃ (B) (2x - 10y^3) dy dx + y = 0 (Q) x^2 y^2 + 1 = cy (C) ( dy dx ) ( d^3y dx^3 ) - 3 ( d^2y dx^2 )^2 = 0 (R) (x+1)(1-y) = cy (D) (x^2y^2 - 1)dy + 2xy^3 dx = 0 (S) x = A₁ y^2 + A₂ y + A₃ (T) xy^2 = 2y^5 + c

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