Final answer:
To find the differential equation corresponding to the given transfer function, you can apply the Laplace transform and use inverse Laplace transform to find the corresponding differential equation.
Step-by-step explanation:
To find the differential equation corresponding to the transfer function, we can apply the Laplace transform to both sides of the transfer function. The Laplace transform of the transfer function G(s) is denoted as L(G(s)).
Applying the Laplace transform to the transfer function G(s) = \frac{2s + 1}{s^2 + 6s + 2}, we get L(G(s)) = \frac{2s + 1}{s^2 + 6s + 2}.
By using Laplace transform properties and inverse Laplace transform, we can find the corresponding differential equation. However, it is important to note that the provided information is incomplete and does not provide sufficient details to determine the complete differential equation. Please provide additional information or clarify the question so that we can assist you further.