solve: y''+8y'+7'=f(t), y(0)=y'(0)=0, expressing your answer in
terms of a convolution, using partial fractions for:
i)f(t)=e^t
ii)f(t)=t^1/2
iii) f(t)=2sin(2t)
solve: y''+8y'+7y=f(t), y(0)=y'(0)=0, expressing your answer in
terms of a convolution, using partial fractions for:
i)f(t)=e^t
ii)f(t)=t^1/2
iii) f(t)=2sin(2t)
Consider the following grammar G:
E -> E + T | T
T -> T F | F
F -> F* | a | b
This grammar can be used to generate regular expressions over
the alphabet {a,b} with standard precedence rules.
Show your solution for each of the following 5 points:
1. Remove left recursion and write the
resulting grammar G1.
2. For the grammar G1, compute and write the
sets FIRST for every right hand side...
Consider the following context-free grammar
G:
E ® T +
E ® * T i
E ® f i
E ® * f +
T ® +
Questions:
(5 points) Compute the Canonical LR(1) Closure
set for state I0 for grammar G.
(10 points) Compute (draw) the DFA that
recognizes the Canonical LR(1) sets of items for grammar G.
(5 points) Construct the corresponding
Canonical LR(1) parsing table.
(10 points) Compute (draw) the DFA for
LALR(1).
(5 points) Construct LALR(1)...
Consider a message signal m(t) with bandwidth W = 5.86 kHz. This
signal is applied to a product modulator, together with a carrier
wave c t = cos(210000πt) producing the DSB-SC modulated
wave s(t). This modulated wave is next applied to a coherent
detector producing an output signal y(t). The coherent detector
consists of a product modulator that multiplies s(t) by c
r = 2cos(222000πt) and a low pass filter which has a cut
off frequency 21 kHz. The output...
y''+ 3y'+2y=e^t
y(0)=1
y'(0)=-6
Solve using Laplace transforms.
Then, solve using undetermined coefficients.
Then, solve using variation of parameters.