Consider the differential equation

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider the differential equation dydx=x(y−2)\dfrac{dy}{dx}=x(y-2). For the particular solution satisfying y(0)=1y(0)=1, on which of the following intervals is the solution increasing? (a) (0,∞)(0,\infty) only (b) (−∞,0)(-\infty,0) only (c) (−∞,0)∪(0,∞)(-\infty,0)\cup(0,\infty) (d) The solution is nowhere increasing.

Related theory

Browse the problem library