Which equation does the function $y = e ^ { - 6 t }$ satisfy?
A) $y ^ { tt } - 3 y ^ {t } + 42 y = 0$
B) $y ^ { tt } - y ^ { t } - 42 y = 0$
C) $y ^ { tt} - y ^ { t } + 42 y = 0$
D) $y ^ { tt } + y ^ { t } - 42 y = 0$
E) $y ^ { tt } + y ^ { t } + 42 y = 0$

Question

Quizplus · Accepted Answer

The function $y = e^{-6t}$ satisfies the differential equation $y^{tt} - y^t - 42y = 0$ because substituting $y = e^{-6t}$ into the equation results in a true statement.

Which Equation Does the Function y=e−6ty = e ^ { - 6 t }y=e−6t

Which Equation Does the Function $y = e ^ { - 6 t }$