The indicial equation for the differential equation $2 x y ^ { \prime \prime } - y ^ { t } + 2 y = 0$ is
A) $r ( 2 r - 1 ) = 0$
B) $r ( 2 r - 3 ) = 0$
C) $r ( 2 r - 2 ) = 0$
D) $r ( r - 3 ) = 0$
E) $r ( r - 2 ) = 0$

Question

Quizplus · Accepted Answer

The indicial equation is derived from the lowest power of $x$ in the Frobenius method, leading to $r(2r-3)=0$.

The Indicial Equation for the Differential Equation 2xy′′−yt+2y=02 x y ^ { \prime \prime } - y ^ { t } + 2 y = 02xy′′−yt+2y=0

The Indicial Equation for the Differential Equation $2 x y ^ { \prime \prime } - y ^ { t } + 2 y = 0$