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Unformatted text preview: y ( t ) = tan-1 ( x ( t )) , is the system linear? Is it invertible? (b) (2 points) If y ( t ) = 1 t R t x ( ) d is the system linear? Is it time-invariant? (c) (2 points) If y ( t ) + y ( t ) = x ( t ) is the system linear? Is it BIBO stable? 3. Impulse Response An LTI system is described by the ODE y 00 ( t ) + y ( t ) = x ( t ) (a) (3 points) Compute the impulse response h ( t ) . Use your answer to determine if the sys-tem is BIBO stable. (b) (3 points) Use the impulse response h ( t ) and the convolution formula to compute y ( t ) when x ( t ) = e-2 t u ( t ) . (c) (4 points (bonus)) Use Laplace transforms to compute the answer to the above items (a) and (b)....
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- Summer '08