The solution of the differential equation of the previous problem is
A) $\theta = c e ^ { - \mathrm { g } t / l }$
B) $\theta = c e ^ { - l t / g }$
C) $\theta = c e ^ { g t / l }$
D) $\theta = c _ { 1 } \cos ( g t / l ) + c _ { 2 } \sin ( g t / l )$
E) $\theta = c _ { 1 } \cos ( \sqrt { g / l } t ) + c _ { 2 } \sin ( \sqrt { g / l } t )$

Question

Quizplus · Accepted Answer

The correct solution to the differential equation typically associated with pendulum motion or similar physical systems involves trigonometric functions with arguments involving the square root of the acceleration due to gravity $g$ divided by the length $l$ of the pendulum. This reflects the oscillatory nature of such systems, where $c_1$ and $c_2$ are constants determined by initial conditions.

The Solution of the Differential Equation of the Previous Problem θ=ce−gt/l\theta = c e ^ { - \mathrm { g } t / l }θ=ce−gt/l

The Solution of the Differential Equation of the Previous Problem $\theta = c e ^ { - \mathrm { g } t / l }$