The singular points of the differential equation $y ^ { \prime \prime } + y ^ { \prime } / x + y ( x - 2 ) / ( x - 3 ) = 0$ are
A) none
B) 0
C) 0, 2
D) 0, 3
E) 0, 2, 3

Question

Quizplus · Accepted Answer

Singular points are values of x for which the coefficients of the differential equation become undefined or infinite. In this equation, the coefficients are $1/x$ and $(x-2)/(x-3)$. These coefficients become undefined for $x=0$ and $x=3$, making them the singular points.

The Singular Points of the Differential Equation y′′+y′/x+y(x−2)/(x−3)=0y ^ { \prime \prime } + y ^ { \prime } / x + y ( x - 2 ) / ( x - 3 ) = 0y′′+y′/x+y(x−2)/(x−3)=0

The Singular Points of the Differential Equation $y ^ { \prime \prime } + y ^ { \prime } / x + y ( x - 2 ) / ( x - 3 ) = 0$