Task 1: For the case of parameters m=1, b=2, and k-3 and the zero state as the initial condition, determine analytically the response of the system to inputs (a) F(t)=u,(1), (b) F(t) = tu, (1), and (c) F(t)=sin(t), where u. (t) denotes the unit step function: u₂(1)={ 1, if t≥ 0; 0, if / < 0.

Introductory Circuit Analysis (13th Edition)
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Task 1: For the case of parameters m=1, b=2, and k-3 and the zero state as the initial condition,
determine analytically the response of the system to inputs (a) F(t)=u.(1). (b) F(t) = tu, (1),
and (c) F(t) = sin(t), where u(t) denotes the unit step function:
u₂(1)={
1, if t ≥ 0;
0, if / < 0.
Transcribed Image Text:Task 1: For the case of parameters m=1, b=2, and k-3 and the zero state as the initial condition, determine analytically the response of the system to inputs (a) F(t)=u.(1). (b) F(t) = tu, (1), and (c) F(t) = sin(t), where u(t) denotes the unit step function: u₂(1)={ 1, if t ≥ 0; 0, if / < 0.
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