In the previous problem, the solution for the position, $x ( t )$ , is
A) $x = \left( e ^ { 8 t } + 8 t e ^ { 8 t } \right) / 3$
B) $x = \left( e ^ { - 8 t } + 8 t e ^ { - 8 t } \right) / 3$
C) $x = \cos ( 8 t ) / 12 + 1 / 4$
D) $x = \left( 4 e ^ { - 8 t } + 32 t e ^ { - 8 t } \right)$
E) $x = \left( 4 e ^ { 8 t } - 32 t e ^ { 8 t } \right)$

Question

Quizplus · Accepted Answer

The solution $x = \left( e ^ { - 8 t } + 8 t e ^ { - 8 t } \right) / 3$ is a typical form for a second-order linear differential equation with constant coefficients, often involving exponential decay.

In the Previous Problem, the Solution for the Position x(t)x ( t )x(t)

In the Previous Problem, the Solution for the Position $x ( t )$