Consider the differential equation $x ^ { \prime } = \sec x$ . The point $x = 0$ is
A) a stable critical point
B) an unstable critical point
C) not a critical point

Name: Consider the differential equation $x ^ { \prime } = \sec x$ . The point $x = 0$ is A) a stable critical point B) an unstable critical point C) not a critical point
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Question

Quizplus · Accepted Answer

A critical point occurs where $x' = 0$. Since $x' = \sec(x)$, and $\sec(0) = 1$, $x = 0$ does not make $x'$ equal to zero, thus it is not a critical point.

Consider the Differential Equation x′=sec⁡xx ^ { \prime } = \sec xx′=secx

Consider the Differential Equation $x ^ { \prime } = \sec x$