Which one of the following differential equations has a periodic solution?

Question

TuteeHUB · Accepted Answer

$\frac{{{{\rm{d}}^2}{\rm{x}}}}{{{\rm{d}}{{\rm{t}}^2}}} - {\rm{\mu x}} = 0$

TuteeHUB · Answer

$\frac{{{{\rm{d}}^2}{\rm{x}}}}{{{\rm{d}}{{\rm{t}}^2}}} + {\rm{\mu x}} = 0{\rm{\;}}$

TuteeHUB · Answer

${\rm{x}}\frac{{{\rm{dx}}}}{{{\rm{dt}}}} + {\rm{\mu t}} = 0$

TuteeHUB · Answer

$\frac{{{\rm{dx}}}}{{{\rm{dt}}}} + {\rm{\mu xt}} = 0$

1.	Which one of the following differential equations has a periodic solution?
A.	\(\frac{{{{\rm{d}}^2}{\rm{x}}}}{{{\rm{d}}{{\rm{t}}^2}}} + {\rm{\mu x}} = 0{\rm{\;}}\)
B.	\(\frac{{{{\rm{d}}^2}{\rm{x}}}}{{{\rm{d}}{{\rm{t}}^2}}} - {\rm{\mu x}} = 0\)
C.	\({\rm{x}}\frac{{{\rm{dx}}}}{{{\rm{dt}}}} + {\rm{\mu t}} = 0\)
D.	\(\frac{{{\rm{dx}}}}{{{\rm{dt}}}} + {\rm{\mu xt}} = 0\)
Answer» B. \(\frac{{{{\rm{d}}^2}{\rm{x}}}}{{{\rm{d}}{{\rm{t}}^2}}} - {\rm{\mu x}} = 0\)

Discussion