Which of the following functions (there may be more than one) are solutions of the differential equation
y
′
′
+
16
y
=
8
y
′
\displaystyle {y}{''}+{16}{y}={8}{y}'
y
′′
+
16
y
=
8
y
′
?
y
=
e
4
t
\displaystyle {y}={e}^{{{4}{t}}}
y
=
e
4
t
y
=
e
t
\displaystyle {y}={e}^{{t}}
y
=
e
t
y
=
t
e
4
t
+
4
e
4
t
\displaystyle {y}={t}{e}^{{{4}{t}}}+{4}{e}^{{{4}{t}}}
y
=
t
e
4
t
+
4
e
4
t
y
=
e
4
t
+
t
e
t
\displaystyle {y}={e}^{{{4}{t}}}+{t}{e}^{{t}}
y
=
e
4
t
+
t
e
t
y
=
12
t
e
4
t
\displaystyle {y}={12}{t}{e}^{{{4}{t}}}
y
=
12
t
e
4
t
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