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Question

Given the differential equation y′$$y^{\prime}$$′(t)+9y(t)=$$0^{\prime}$$\left(t\right)+9y\left(t\right)=0, which function below is a solution to this equation for all tt?

Accepted Answer

y=Csin⁡3ty=C\sin3t

Answer

y=Ccos⁡ty=C\cos t

Answer

y=Ce3ty=$$Ce^{3t}$$

Answer

y=Ce−3ty=$$Ce^{-3t}$$

Given the differential equation y′y^{\(\prime\)}′(t)+9y(t)=0^{\(\prime\)}\(\left\)(t\(\right\))+9y\(\left\)(t\(\right\))=0, which function below is a solution to this equation for all tt?

Given the differential equation $y^{'}$ $^{'} (t) + 9 y (t) = 0$ , which function below is a solution to this equation for all $t$ ?