Given the separable differential equation 𝑦 ′ − 3 𝑡 3 𝑦 = 0 and the initial condition 𝑦 ( 0 ) = 6 . Find the explicit solution to the differential  (answer should be in y=f(t) format.)单项选择题

A

𝑦 = 𝑒 [ 3 𝑡 4 4 ] + 5

B

𝑦 = 6 𝑒 6 𝑡 2

C

𝑦 = 6 𝑒 [ 3 𝑡 4 4 ]

D

𝑦 = 𝑒 [ 3 𝑡 4 4 ] + 6

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