What is the general solution of the third-order homogeneous differential equation
A) $ y=C_{1}+C_{2} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right) $
B) $ y=C_{1}+C_{2} e^{-2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{-2 t} \cos \left(\frac{\sqrt{32}}{2} t\right) $
C) $ y=C_{1}+C_{2} e^{\frac{4-\sqrt{32}}{2} t}+C_{3} e^{\frac{4+\sqrt{32}}{2} t} $
D) $ y=C_{1}+C_{2} e^{\frac{-4-\sqrt{32}}{2}}+C_{3} e^{\frac{-4+\sqrt{32}}{2}} $

Question

What is the general solution of the third-order homogeneous differential equation 
A) $ y=C_{1}+C_{2} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right) $ 
B) $ y=C_{1}+C_{2} e^{-2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{-2 t} \cos \left(\frac{\sqrt{32}}{2} t\right) $ 
C) $ y=C_{1}+C_{2} e^{\frac{4-\sqrt{32}}{2} t}+C_{3} e^{\frac{4+\sqrt{32}}{2} t} $ 
D) $ y=C_{1}+C_{2} e^{\frac{-4-\sqrt{32}}{2}}+C_{3} e^{\frac{-4+\sqrt{32}}{2}} $

Quizplus · Accepted Answer

The Answer of What is the general solution of the third-order homogeneous differential equation 
A) $ y=C_{1}+C_{2} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right) $ 
B) $ y=C_{1}+C_{2} e^{-2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{-2 t} \cos \left(\frac{\sqrt{32}}{2} t\right) $ 
C) $ y=C_{1}+C_{2} e^{\frac{4-\sqrt{32}}{2} t}+C_{3} e^{\frac{4+\sqrt{32}}{2} t} $ 
D) $ y=C_{1}+C_{2} e^{\frac{-4-\sqrt{32}}{2}}+C_{3} e^{\frac{-4+\sqrt{32}}{2}} $

What Is the General Solution of the Third-Order Homogeneous Differential y=C1+C2e2tcos⁡(322t)+C3e2tcos⁡(322t) y=C_{1}+C_{2} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right) y=C1​+C2​e2tcos(232​​t)+C3​e2tcos(232​​t)

What Is the General Solution of the Third-Order Homogeneous Differential $y=C_{1}+C_{2} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)+C_{3} e^{2 t} \cos \left(\frac{\sqrt{32}}{2} t\right)$