Using the DIFFERENTIAL EQUATION METHODS, Solve for the particular solution of the differential equation as follows: y"'+ 33y"+ 30y'− 64y= 0 With the initial conditions as follows: y(0) = 0, y’(0) = -1, y’’’(0) = 33.

14. Compute the minimal value of K so that the steady-state error due to a unit step distur- bance is less than 10%. a. K=1- b b. K = b c. K = 10- / d. The steady-state error is ∞ for any K

4) The function sin x (which you may remember from Calculus 1 limits) is important in signal processing and electrical engineering, and is known as the "sinc" function, often abbreviated as just sinc(x). Find § sinc(x) dx. Then, approximate ſ sinc(x) dx using the first five terms of the appropriate series.

Diferential Equations, pls dont skip steps on the integrals and everything thank you A 12 volt battery is connected to a series circuit in which the inductor is 12 henry and the resistance is 10 ohms. Determine the current i, if the initial current is zero.

Secend order sytem Unit Step responce is shown below; a. Find Transfer Function T(s)=C(s)/R(s) ? b. Analize the system stability c. Find steady state errors for unit ramp and unit parabol? 1.25 1.0 0,1 1(sec)

A Moving to another question will save this response. Quèstion 6 If we use phosphors(P15) for doping, then phosphors atoms are called donor atoms. True False A Moving to another question will save this response.

Z-Transform and Inverse Z-Transform

1. Determine the Canonical form (Standard SOP) for AB + BC 2. Determine the Canonical form (Standard POS) of (A + B)(B+C) 3. Sketch the circuit diagram for a circuit that checks for odd prime numbers for the first 9 numbers ranging from 0 to 8. Use K map method for the simplification of the expression. 4. Use K map method to simplify the following expressions D+ A.C + B.C

4. Use The Routh- Hurwitz Criterion to determine Following Systems are Stable or Not? Why? S4 + 3S3+ 5S?+ 6S +8=0

Find the derivatives f'(z) for the given function f(z) = 5z* – iz' + (8 – i)z² – 6i