37. Let \( f \) be a solution to the differential equation \( \frac{dy}{dt} = ky \) where \( k \) is a constant. Values of \( f \) for selected values of \( t \) are given in the table below. Which of the following is an expression for \( f(t) \)?

\( t \) 0 2
\( f(t) \) 4 12






Answer is: option1

\( 4e^{\frac{1}{2} \ln 3} \)

Solution:

\( 4e^{\frac{1}{2} \ln 3} \)

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