For the differential equation

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For the differential equation dydx=(x−2)(x+1)\dfrac{dy}{dx}=(x-2)(x+1), a solution passes through the point (0,0)(0,0). (i) On which open intervals of xx is the solution increasing? (ii) On which open intervals of xx is the solution concave upward? State both answers in interval notation, separated by a semicolon.

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