17C Solve the following DE using Laplace Transformy + 3 y = f(t) ,y(0) = 1|0, 0< t< 1f(t) =1.t > 117D Solve the following DE using method of Undetermined Coefficients1y" – 4y = ež + :2

given; y'+3y=f(t)f(t)=0 0≤t≤1f(t)=1 t≥1and y(0)=1

Answered: 17C Solve the following DE using…

Engineering

Mechanical Engineering

17C Solve the following DE using Laplace Transform y' + 3y = f(t), f(t) = y(0) = 1 So, 0≤ t <1 1 t>1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: me final value of y(t) wl

A: need to determine Value of y(t)

Q: Sketch the graph

A: a) f1(t)=t, 0≤t<24-t, 2≤t<40, t≥4…

Q: Solve for the laplace transform using the formula G(t) = t5 –e-9t + 5(t – 1)²

Q: Find the inverse Laplace transform -¹{F(s)} of the given function F(s) 20 s² + 25 Your answer should…

A: Giventhe inverse laplace transform L-1FSFS=20s2+25

Q: Which of the below Laplace transform pairs is correct? s+ 5 L{e-5t cos (4t)} = (s+5)2 + 16 S- 4…

A: First we calculated laplace transform of cos(4t) and then applied shifting operator, option (a) is…

Q: 1. For the circuit below, utilize the superposition method to solve the following ли R17 12 2 A + V3…

Q: FIND INVERSE LAPLACE TRANSFORM, USE THE LAPLACE OF INTEGRALS | 4 5s (s2+4). 8.

A: Find the inverse laplace of the function.

Q: find the laplace transform of the following

Q: Find F(1) OF THE LAPALCE TRANFORM FUNCTION

A: Given; F(s) is the laplace transform of the function, f(t)=2t2e-t Therefore we have to…

Q: For Numbers 3-5. Solve the Laplace transform of the following using the formula. 3. F(t) = e-2t-5 4.…

Q: The Laplace Transform of : cosh(3t)+2sin(5t) is

Q: ). Given the initial condition, X(0) = 2 Find th 1. the complementary or transient solution 2. The…

A: MX..+CX.+KX=KYY=10 inM=0K=5 lb/inC=0.1 lb-s/inX(0)=2 To Find: (a) The complimentary or transient…

Q: Solve for the laplace transform using the formula. F(t) = e-2t-5

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

Q: at DMZ For the following Second-order system and initial conditions, find the transient solution:…

Q: Use the table of Laplace transforms to find the Laplace transform of each of the following. 2. (a)…

Q: Match the following two frequency response diagrams: 40 iu 0.4 0.2 Response A 0 10 |G(i w)| 5 6…

A: The first curve has a wave form of continuous. This means that there is a damping in the system…

Q: 2. Use the laplace transform to solve for f(t) of the given differential equation. (10 pts) dx (0) =…

Q: Find the transform of the given function of s. 1 F(s) = 2s + 16

Q: d²y(t) dy(0) = 20u(t) y(0) = 25; dt dt2

Q: Solve for B X A: A = 4j B = 2j + 3i - k Select the correct response: O4i +8k O4i + 12k ( 3i + 12j…

A: Calculated vector B×A.

Q: (-3+ ]32–1 )wnt (-3- [32-1 )wnt X = A e +Be With initial conditions x(0) and x( 0), we found: =…

Q: Determine the inverse Laplace transform of the function: F(s) 7s-41s+84 (s-1)(s2 4s+13)

Q: K m fv f₁- 0 J M A Figure 1 Find the Laplace transform and transfer function for the system in…

Q: Solve for the differential equation of the below Transfer function (use inverse Laplace Transform…

Q: In a coupled system, the variables y1(t), y2(t) satisfy the ordinary differential equations dyr + y2…

A: The Laplace transform is a useful integral transform for solving physical issues, arguably second…

Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 8. f(t) =…

Q: Determine the value of F(1)

A: Given : F(s) is the Laplace transform of the function, ⇒f(t)=2t2e-t we have to find the function…

Q: The clamshell buckets can be used in hydraulically operated equipment. Select one: O True O False

A: Solution: Note: Dear Student! As per our guidelines, we are only allowed to answer a single…

Q: find the value of x³ + x – 1 = 0 Around x1 using the Newton-Raphson technique after checking the…

A: The function is given as, The derivative of the above function with x is given as, Now, put x=0 in…

Q: Q1 (a) A plant is modelled by the differential equation d²y 3. +2 + y = u dt² dy dt Assume that the…

Q: Consider the thermocouple properties you found in the question "Temperature of a thermocouple (1/3)"…

A: To Find:the maximum temperature.Given:The room temperature is

Q: I motion of the c E 4.6.4. Use the L = 1, kz = 1, k3 –1, x2(0) = 0, x½- %3D

A: Given: k1=1, k2=1, k3=1, m=1,m2=1 and r2(0)=0, r2'=1 The equation of verification of two masses are…

Q: 1) Using Laplace transform table solve following equations (Aşağıdaki denklemleri Laplace dönüşüm…

Q: • Find the Laplace Transform using the Laplace Transform Pairs and the Laplace of derivatives: 4. y…

A: Following is the answer for the question.

Q: 6. Compute the response of 0 12 -2 * (t) + x (t) = 0 10 -2 12 where the initial conditions are x (0)…

A: Step 1: To solve this second-order constant coefficients linear ordinary differential equation…

Q: Q.1: Determine the roots of the Simultaneous nonlinear equations using Newton- Raphson method for…

Question

17C Solve the following DE using Laplace Transform
y + 3 y = f(t) ,
y(0) = 1
|0, 0< t< 1
f(t) =
1.
t > 1
17D Solve the following DE using method of Undetermined Coefficients
1
y" – 4y = ež + :
2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

What is the laplace transform of f(t)= -4e-3t? 4 8-3 -4 s+3 -4 s-3 | 4 s+3
Example: Find Laplace transform of function: 1 F(s) : (s + 1)(s2 + 4) Solution:
16:37 A ess ב .3% lה.ו 9 The Laplace transform of f (t) = e-3t cos(2t) + 2te3t is: 7 1 F(s) + s² +6s+9 s²–4s+53 This option s+3 F(s) s²+6s+13 s2–6s+9 This option 7 1 F(s) s²–4s+53 s2-6s+9 II
8 A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to times the instantaneous velocity. (Use g = 32 ft/s² for the acceleration due to gravity.) Complete the Laplace transform of the differential equation. s²x{x} + ([ ])s£{x} + Use the Laplace transform to find the equation of motion x(t). x(t) = ])L{x} = 0
5 4. The Laplace transform ²2+4s +6 can be expressed as L{e²¹[qssin(q6t) + q7cos(** t)]}
Solve the initial value problem below using the method of Laplace transforms. y"- y' - 30y = 0, y(0) = - 1, y'(0) = 49
Find the Inverse Laplace Transform
1 Ex. Find the inverse Laplace transform for F(s)= – 4) S (S
Compute theresponse x(t) for the following driven, undamped oscillator using the Laplace transform method. *(t)+4x(t) = sin(2t) x(t) = 0 *(t) = 0