Differential Equations

The Laplace transform of $f(t) = e^{3t} \sin(4t)$ for $s > 3$ is:

Options:

• (A) $\frac{4}{(s-3)^2 + 16}$
• (B) $\frac{s-3}{(s-3)^2 + 16}$
• (C) $\frac{4}{s^2 + 16}$
• (D) $\frac{s+3}{(s+3)^2 + 16}$