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Differential Equations

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Moderate

The Time When the Solution Achieves a Given Value

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Assume that $y(t)$ solves the initial value problem $y'=ty(4-y), y(0)=1.2$.

If $y(T)=3.9$, then the value of $T$ is given by:

A

$1.501$

B

$2.124$

C

$3.003$

D

$1.062$