MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations
Problem
For the differential equation dxdy=cosx, which statement is true about its particular solutions?
(a) There are infinitely many particular solutions, but more than one can pass through the same point if their constants differ.
(b) There are infinitely many particular solutions, but none can pass through points where y lies outside the interval [−1,1].
(c) There are infinitely many particular solutions, and exactly one passes through each point in the plane.
(d) There is exactly one particular solution for the entire plane.