Which of the following is a solution of the differential equation ?

Name: Which of the following is a solution of the differential equation ?
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Question

Which of the following is a solution of the differential equation  ?

Quizplus · Accepted Answer

Substituting the given solution into the differential equation, we get:
$$\frac{d}{dx}(11e^{ax}) - 5(11e^{ax}) = 0$$
$$11ae^{ax} - 55e^{ax} = 0$$
$$e^{ax}(11a - 55) = 0$$
Since $e^{ax}$ is never zero, we must have $11a - 55 = 0$, or $a = 5$. Therefore, the only solution that satisfies the differential equation is option C, where $a = 	ext{cab3}$

Which of the Following Is a Solution of the Differential