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ECE · Q10

Signal Processing

Engineering and GATE · ECE · question 10

Q10

A system is described by the differential equation d^2y dt^2 + 5dy dt + 6y ( t ) = x ( t ). Let x(t) be a rectangular pulse given by x ( t ) = \ 1, & 0 < t < 2 0, & otherwise . Assuming that y(0) = 0 and dy dt = 0 at t = 0, the Laplace transform of y(t) is

A system is described by the differential equation     Let x(t) be a rectangular pulse given by
x\left( t \right) = \left\{ {\matrix{ {1,} & {0 < t < 2} \\ {0,} & {{\rm{otherwise}}} \\ } } \right.
Assuming that y(0) = 0 and   at t = 0, the Laplace transform of y(t) is
A.
B.
Answer
C.
D.

Answer: Option B

Solution

Answer: Option B
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