pleasecircleasnswer Given the following 2nd order ordinary differential equations with constant coefficients,determine the roots of the system (i.e., the roots of the characteristic equation), and provide a generalsolution to the non-homogenous equation (i.e., coefficients of the general solution should be leftarbitrary).d²ydx²dy+a+by=0dx11where a =RC'LC', b = ±²², R = 2000, L = 50mH, and C = 1µF.

Given:a=RC1=(200Ω)(1×10−6F)1=5×103b=LC1=(50×10−3H)(1×10−6F)1=2×107 Roots of equation:Writing the…

Answered: Given the following 2nd order ordinary…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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By Differential equations An electromotive force of 100 volts is applied to an RC series circuit, in which the resistance is 50 ohms and the capacitance is 0.002 farads. Determine the load q(t) of the capacitor, if q(0) = 5C. Find the current i(t). Pls dont skip any steps even on the integrals
QUESTION: this question is realted to subject ORDINARY DIFFERENTIAL EQUATION. plz solve on A4 page and step by step. and send quickely thanks
i need the answer quickly
V, = @sin(@t) + 2@ cos(@t). For this 6. A LRC circuit below is used to modify an input voltage applicatio, = 2 ydurāifidrentidi equation gnlist be in terms of %3D charge 9 notes to generate the general solution. No other method will be accepted. Use two decimal point accuracy. You . You must use the complimentary and particular solution method as shown in your are given that -2N@² + 20N = 2@ and -2M@² +20M = 2@¸ which you must use to simplify your particular solution when you equate coefficients. L HH Va VL Vc keo = Im sin(ot) Vs
DesignalagcompensatorD(z) in w-planeforthefollowingsystemtomeet thegivenspecifications Dampingratiois 0.5, Settlingtimeis 1.3sec, Velocity errorconstsnt is3.0sec-1
Write one line of MATLAB code that will generate values of the sinusoid x1 (t) above by using the complex- amplitude representation: x1(t) = Re{Xejwt} Use appropriate constants for X and w.
6z – 0.8 F2(2) = z3 – 1.4z2 + 1.24z – 0.2 Find: Analytically determine the function, f2[n], using the partial fraction techniques shown in class. If you have complex roots, you do NOT have to manually show all steps to the final result. You may use the simplifying equation shown in class. Your final result must be a completely real expression.
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.
Consider the clreuit below, given that Z1 is a 2H inductor, 22 is a 8 ohm resistor, 23 is a 12 ohm resistor, and Z4 is a 01F capacitor. Find the followis Z1 24 TRedraw the circuit in the S-donain (indicate all values and units). Caloulate the total impedance seen by the source in the Sidamain. Caleulate Vo ia terms of Vin in the S domain.
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