Let a causal LTI system be characterized by the following differential equation, with initial rest condition\(\frac{{{d^2}y}}{{d{t^2}}} + 7\frac{{dy}}{{dt}} + 10y\left( t \right) = 4x\left( t \right) + 5\frac{{dx\left( t \right)}}{{dt}}\)where x(t) and y(t) are the input and output respectively. The impulse response of the system is (u(t) is the unit step function)

Let a causal LTI system be characterized by the following differential

1.	Let a causal LTI system be characterized by the following differential equation, with initial rest condition\(\frac{{{d^2}y}}{{d{t^2}}} + 7\frac{{dy}}{{dt}} + 10y\left( t \right) = 4x\left( t \right) + 5\frac{{dx\left( t \right)}}{{dt}}\)where x(t) and y(t) are the input and output respectively. The impulse response of the system is (u(t) is the unit step function)
A.	2e-2tu(t) – 7 e-5tu(t)
B.	–2e-2tu(t) + 7 e-5tu(t)
C.	7e-2tu(t) – 2 e-5tu(t)
D.	–7e-2tu(t) + 2 e-5tu(t)
Answer» C. 7e-2tu(t) – 2 e-5tu(t)