The values of m for which $y = e ^ { m x }$ is a solution of $y ^ { \prime \prime } - 5 y ^ { \prime } + 6 y = 0$ are
A) 2 and 4
B) $- 2$ and $- 3$
C) 3 and 4
D) 2 and 3
E) 1 and 5

Name: The values of m for which $y = e ^ { m x }$ is a solution of $y ^ { \prime \prime } - 5 y ^ { \prime } + 6 y = 0$ are A) 2 and 4 B) $- 2$ and $- 3$ C) 3 and 4 D) 2 and 3 E) 1 and 5
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Question

Quizplus · Accepted Answer

The characteristic equation for the differential equation is $m^2 - 5m + 6 = 0$. Solving this gives the roots $m = 2$ and $m = 3$.

The Values of M for Which y=emxy = e ^ { m x }y=emx

The Values of M for Which $y = e ^ { m x }$