AP Calculus AB / Differential Equations / Question No. 44

44. The equation \( y = 2e^{6x} - 5 \) is a particular solution to which of the following differential equations?

\( y' - 6y - 30 = 0 \)

\( 2y' - 12y + 5 = 0 \)

\( y'' - 5y' - 6y = 0 \)

\( y'' - 2y' + y + 5 = 0 \)

Answer is: option1

\( y' - 6y - 30 = 0 \)

Solution:

\( y' - 6y - 30 = 0 \)

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Home Practice Questions AP Calculus AB Differential Equations Question No. 44