20065ee102_1_102-F06-HW1[1]

20065ee102_1_102-F06-HW1[1] - FALL 2006 Put First Letter of...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
FALL 2006 Put First Letter of LAST Name in the corner →→→% Name (LAST, Middle, First):———————— ——————————— EE102: SYSTEMS & SIGNALS HW :#1 ALATEHWISNOTAHW ! Posted: October 4 Hand In 1 : October 11 Attach This Sheet To Your HW 1. Consider the di±erential equation: dy ( t ) dt +2 y ( t )= dx ( t ) dt 2 x ( t ) ,t 0 , y (0) = 0 ,x (0)=0 . (i) Solve for y ( t ) in terms of x ( t ). (ii) Find y ( t ) given that x ( t te t U ( t ) . 2. Compute: I 1 ( t Z t −∞ ( t τ ) e 2( t τ ) U ( τ 2) dτ, I 2 = Z 5 1 e 2 t U ( t 3) dt. 3. A system S is described by the following IPOP description: y ( t T [ x ( t )] ,y ( t Z t −∞ e t e 2 τ x ( τ ) dτ, t > −∞ , where x ( · ) is input and y ( · ) is output. Is this system TI or TV? Find the output y ( t ) when the input to the system is x ( t e t U ( t 4) . 1 To me (NL) at 8:50 am break 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4. Consider the “RC-circuit” of Fig 1.2, p.3, of BestText. Now, let x ( · )be input voltage and i ( · ) be output current, i.e.,
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/31/2009 for the course EE ee102 taught by Professor Levan during the Fall '09 term at UCLA.

Page1 / 2

20065ee102_1_102-F06-HW1[1] - FALL 2006 Put First Letter of...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online