Class-66:LTI System - Solving Differential equations for natural response

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consider a relaxed system described b y the following:

D^2(y)+2D(y)+5y=Sint. the impulse response of this system is:

knowledgewithshoomans
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Consider an LTI system described by the differential equation (dy(t))/(dt) + 4y(t) = 2x(t); x(t) =; x(t)=e^ "-t" u(t)\y(0^ - )=-1 determine the response y(t) of the system. how to solve??
Please send answer

subhash_