Multiple choice

Which of the following is a solution to the differential equation$\frac{dx(t)}{dt} + 3x (t)$= 0?

  1. x (t) = 3et

  2. x (t) = 2e-3t

  3. x (t) = -$\frac{3}{2} t^2$
  4. x (t) = 3t2

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\text{We have} \hspace{2cm} \frac{dx(t)}{dt} + 3x(t) = 0 \\ or \hspace{3.3cm} (D + 3)x(t) = 0 \\ Since m = -3, \hspace{1cm} x(t) = C e^{-3t}$