Signals and Systems - Impulse Response

A continuous-time system that is initially at rest is described by $\frac{dy(t)}{dt} + 3y(t) = 2x(t)$, where $x(t)$ is the input voltage and $y(t)$ is the output voltage. The impulse response of the system is

Let a causal LTI system be characterized by the following differential equation, with initial rest condition $\frac{d^2y}{dt^2} + 7\frac{dy}{dt} + 10y(t) = 4x(t) + 5\frac{dx(t)}{dt}$ where, x(t) and y(t) are the input an...