If y (t) = dx (t) / dt = δ (t + 1) –2δ (t) + 2δ (t – 3), then state that the following statements are TRUE or FALSE. (a) x (t) is of finite duration and finite amplitude. (b) x (t) = 0 (c) x (t) = 2u (t + 3) --2u (t) + u (t - 1) (d) for t <--1 x (t) ) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If y (t) = dx (t) / dt = δ (t + 1) –2δ (t) + 2δ (t – 3), then state that the following statements are TRUE or FALSE. (a) x (t) is of finite duration and finite amplitude. (b) x (t) = 0 (c) x (t) = 2u (t + 3) --2u (t) + u (t - 1) (d) for t <--1 x (t) ) = 0

 

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