What is the solution of this initial value problem:

A) $ y=e^{3 t}\left[3 \cos (7 t)-\frac{4}{7} \sin (7 t)\right] $
B) $ y=e^{-3 t}(3 \cos (7 t)+2 \sin (7 t)) $
C) $ y=e^{7 t}\left(3 \cos (3 t)+\frac{14}{3} \sin (3 t)\right) $
D) $ y=e^{-7 t}\left[3 \cos (3 t)-\frac{4}{3} \sin (3 t)\right] $

Question

What is the solution of this initial value problem:

A) $ y=e^{3 t}\left[3 \cos (7 t)-\frac{4}{7} \sin (7 t)\right] $ 
B) $ y=e^{-3 t}(3 \cos (7 t)+2 \sin (7 t)) $ 
C) $ y=e^{7 t}\left(3 \cos (3 t)+\frac{14}{3} \sin (3 t)\right) $ 
D) $ y=e^{-7 t}\left[3 \cos (3 t)-\frac{4}{3} \sin (3 t)\right] $

Quizplus · Accepted Answer

The Answer of What is the solution of this initial value problem:

A) $ y=e^{3 t}\left[3 \cos (7 t)-\frac{4}{7} \sin (7 t)\right] $ 
B) $ y=e^{-3 t}(3 \cos (7 t)+2 \sin (7 t)) $ 
C) $ y=e^{7 t}\left(3 \cos (3 t)+\frac{14}{3} \sin (3 t)\right) $ 
D) $ y=e^{-7 t}\left[3 \cos (3 t)-\frac{4}{3} \sin (3 t)\right] $

What Is the Solution of This Initial Value Problem: y=e3t[3cos⁡(7t)−47sin⁡(7t)] y=e^{3 t}\left[3 \cos (7 t)-\frac{4}{7} \sin (7 t)\right] y=e3t[3cos(7t)−74​sin(7t)]

What Is the Solution of This Initial Value Problem:
$y=e^{3 t}\left[3 \cos (7 t)-\frac{4}{7} \sin (7 t)\right]$