Find the solution of the following equation by taking the Laplace Transform y" +7y = 10e" Given that y(0) = 0, y'(0) = 3

Q: The series RL circuit has the following circuit parameters: v = 100sint, @t = 0,i = 0. R = 50, L =…

A: Given: The series RL circuit has the following circuit parameters: R=5 ΩL=0.1 Hv=100sint@t=0, i=0…

Q: Find the waveform, f(t), from its Laplace transform, F(s), by doing a partial fi expansion. 4(s + 3)…

A: In this question we will find f(t) by inverse Laplace transform using partial fraction expansion....

Q: 2. What is the Laplace transform of the function f(t) defined by : f(t) = 0, for t < 0 sin (ot + 0),…

A: Laplace transform of the function f(t) is determined as shown below.

Q: 2) Compute the inverse of the following Laplace transforms: s+3 a) X(s) %3D s(s+1)(s-2) s-2 b) X(s)…

A:

Q: Solve the following differential equation using Laplace Transform: y(0) 1, y'(0) = 0 %3D y" + 3y' +…

A: Given differential equation is, y'' + 3y' + 2y = 5(e^t) And , y(0)= 1 &amp; y'(0)=0

Q: After the switch is open for a long enough time, it is closed at t=0. Since the Laplace transform of…

A:

Q: Determine for the current i(t), the voltage across the capacitor velt) for t>0 by using Laplace…

A:

Q: A system is modelled by the Laplace domain transfer function as follows: 10(s + 100)(s + 10)(s +…

A: Gs=10s+100s+10s+0.1s+1000s+1…

Q: Example 5: Find the Bilateral Laplace transform of the unit ramp function which illustrated below…

A:

Q: The output response of a system is denoted as y(t), and its Laplace transform is given by 10 Y (s) =…

A: For evaluation of the steady state value of the given function, the final value theorem will be…

Q: 12 i, 0.2 H 1. The order of the circuit is: 2. The impedance of the inductor is bs. What is b? 3.…

A:

Q: 2. What is the Laplace transform of the function f(t) defined by : f(t) = 0, - sin (ar + 0), for t <…

A: Given:  f(t)=0,for t&lt;0sin (ωt+θ),for t≥0

Q: )Using the method that applies the Laplace Transform to the circuit below, assuming initial…

A:

Q: s+1 The Laplace transform of the voltage across a capacitor of 0.5 F is V (s) = +s²+s+1 The value of…

A: Given, Voltage across a capacitor, Vs=s+1s3+s2+s+1 Capacitance, C = 0.5 F

Q: Q2/ solve the following equation using Laplace Transforms? 1") + 3f"(t) +2f)=0 where, f(0) = 1 and…

A:

Q: what is the laplace transform of the given differential equation? y'' - 2y' - 1 = 0 , y (0) = 0 , y'…

A: Find the Laplace transform of given differential equation with given initial conditions.

Q: (ii) Determine the Inverse Laplace transformation of the following function. 6(s+2) F(s)…

A:

Q: S/ Obtain the inverse Laplace transform of the following functions: s-2 a) F(s) = (s+1)(s+2)(s+3)

A: In this question we will find inverse Laplace transform of given functions...

Q: FIND THE INVERSE LAPLACE OF: 10 5 18 F(s) 6. S-4 (s–5)* 2 S+9

A:

Q: Solve the initial value problem using laplace transform. y" + 5y'+ 6y = u(t – 1) – 6(t – 2), y(0) =…

A: In the question, Solve the initial value problem using the laplace transform. y"…

Q: Find the solution of the following differential equation using Laplace Transform. y'' + 4y' + 3y…

A:

Q: b. Prove that, the Inverse Laplace Transform of the function F(s) below has NO complex values. 2 +s…

A:

Q: 5. (0- - )

A:

Q: Example Solve the following differential equation using Laplace transform (a) y" + 2y'+ y =t with…

A: By using Laplace transform

Q: Given, r(t) = 0.5t^2, therefore its laplace transform is a. 1/ s^3

A:

Q: 3. Given the following differential equation, solve for y(t) if all initial conditions are zero, Use…

A:

Q: The dynamics of a system is derived from the inverse Laplace transform of X(s) = (s + 3) / (s)(s +…

A:

Q: Given, r(t) = 2t^2, therefore its laplace transform is

A: Here i have applied the property of laplace transform.

Q: Solve the following Second order Ordinary Differential Equations (ODE) using Laplace Transform:…

A: Given y''-10y'+9y=10t y0=1y'0=-1 Taking Laplace transform…

Q: Given, r(t) = 3t^2, therefore its laplace transform is O a 6/s^3 O b. 6/ s^2 Oc 3/ s^2 O d. 8/ s^3

A:

Q: Write the differential equations of motion, convert to Laplace domain with zero initial conditions.…

A: b) Calculation of ODE of the system The mechanical system is given as Given data k1=k2=2m1=m2=1c=1

Q: 2. What is the Laplace transform of the function f() defined by : f(t) = 0, for t < 0 = sin (ot +…

A: Laplace transform of the function is determined as shown below

Q: 3.43. Find the Laplace transform of the following x(1): (a) x() - sin o, tu() (b) x() = cos(a,t + )…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2. The Laplace Transform of a continuous-time signal is given as below: s- 1 52 – s – 2 ,-1< Re{s} <…

A:

Q: 1. sin 3at where a is any positive constant and s> a.

A: Since there are several different numerical problems present, as per the guidelines, in the…

Q: Given the following LaPlace Transform pair (Ae + Be P) u (1) + s2+bs+c where A, B are constants, b…

A: Given:Ae-t+Be-pt u(t)↔L.T.1s2+bs+c

Q: The inverse Laplace transformation of the function F(s) = (1 - e") s is %3D s+B f(t) = 2 cos cos (Bt…

A:

Q: A) 1. Use Laplace transform to solve the initial value problem y" +3y/ +2y = 6e, y(0) = 1, y(0) = 2.…

A: In this question we will solve given differential equation using Laplace transform.... Note: as per…

Q: 1. Find the Laplace transform of f (t) defined by: for t < 0 f(1) = 0, = te", %3! for t 2 0 %3D

A: In this question we need to find a Laplace transform of the given signal.

Q: The Laplace Transform for sin(at) is * O 1/(s-a) O s/(s^2+a^2) O s/(s+a) O a/(s2+a2)

A:

Q: Consider the following system of differential equation bro y +z t z' + 4y = 0 = 1, and z(0) = 1 %3D…

A: Given:-

Q: QIB) Determine the z-transform for the following sequences, sketch the pole-zero plot and indicate…

A:

Q: 2. What is the Laplace transform of the function f(t) defined by : f(1) = 0, for t < 0 sin (ot + 0),…

A: In this question we will find Laplace of given function..

Q: lace transforms to solve the given differential equation %3D 16y = 10cos4x ,given y(0) = 3 and y'(0)…

A: The given differential equation is,  y'' + 16y = 10cos4x  Initial conditions :- y(0)= 3 &amp;…

Q: Find i for t > 0 if i(0) = 2A and v(0) = 6V. 50 1000 mH www 26 cos 3t V 향 (+1) 카 + >

A: The given circuit diagram is shown below:

Q: For each of the impulse answers given below i. h(t) = e-atu(t), a >0 ii. h2(t) = -e-atu(-t), a > 0…

A: This is based on the concept of Laplace transformation.

Q: 3. By applying the final-value theorem, find the final value of f(t) whose Laplace transform is…

A: Note: We are authorized to answer the first question since the exact one wasn’t specified. Please…

Q: 30A 2ov 0,SH

A:

Motor Load, Torque, and Power Quality Requirement

An electric motor is a gadget that changes electrical energy into mechanical energy over to follow up on a mechanical burden. The weight set on the motor because of this mechanical movement is known as motor load. Appropriately matching the motor burden to the engine is vital to forestall harm to the engine or wasteful and unnecessary expensive activity. Engines perform such undertakings as moving a thing starting with one spot then onto the next, cutting it, changing its shape, etc. The motors might be evaluated as far as a few variables including power yield, voltage, current, and temperature. Harm to an engine might happen when it is worked under over the top engine load contrasted with its appraised limit.