Let a causal LTI system be characterized by the following differential – InterviewSolution

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1.	Let a causal LTI system be characterized by the following differential equation, with initial rest condition.d2ydt2+7dydt+10y(t)=4x(t)+5dx(t)dtWhere, 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]
Answer» Let a causal LTI system be characterized by the following differential equation, with initial rest condition. $\frac{d^{2} y}{d t^{2}} + 7 \frac{d y}{d t} + 10 y (t) = 4 x (t) + 5 \frac{d x (t)}{d t}$ 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]

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