Which pair of points lies on the same particular solution of the differential equation ?

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Which pair of points lies on the same particular solution of the differential equation dydx=x2−4\dfrac{dy}{dx}=x^{2}-4? (a) (0,1) and (2,−73)(0,1)\text{ and }(2,-\tfrac{7}{3}) (b) (−1,0) and (1,2)(-1,0)\text{ and }(1,2) (c) (0,5) and (2,−13)(0,5)\text{ and }(2,-\tfrac{1}{3}) (d) (0,1) and (2,1)(0,1)\text{ and }(2,1)

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