Hey, I need the answers to these questions. It's urgent.Don't solve 3b just use the conditions, For Laplace, show DETAILED STEPS please. Especially when you're doing inverse.For 3e just specify the regions. d²ydt2dy4+ 3 + 40y = 0 , t>0dtwhere y(t) = displacement in meters, and t = time in seconds. (3-b Assuming y(0) = 0 and y'(0) = 1, determine the particular solution of y(t).(3-c) Use Laplace transform to solve the given differential equation with the same initial conditionsin (2-b).(3-d) Comment on how your mathematical solution behaves in transient and steady state regions.(3-e) Builda Simulink block-model suitable forgenerating the results-of the DE. Show the-model-and the results-in-your repert andspecify the transient and steady state regions. Make sure yousubmit the simulation file (properly named).

Answered: Image /qna-images/answer/49967916-9c9e-440a-86e3-68d76822f365.jpg

Answered: d²y dy +3. + 40y = 0 , t>0 4 dt2 dt…

Math

Calculus

d²y dy +3. + 40y = 0 , t>0 4 dt2 dt where y(t) = displacement in meters, and t = time in seconds.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.4: Exponential And Logarithmic Equations

Problem 4ECP

See similar textbooks

Related questions

Q: dz Find given: dt =ze, =t', y= 5+5t dz dt

Q: 1. Solve the DE as follows: d'y dy +3. +2y = 24 y(0) = 10 and y'(0) =0 dt? dt

A: Note :- As per our guidelines , we will solve only first question for you. If you want any specific…

Q: Solve using Laplace Transforms y"+4y = t-2 sin t; y(0)=-1, y'(0)= 2,

A: given differential equation isy"+4y=t-2sinty(0)=-1y'(0)=2applying laplace transformLy"+4y=Lt-2 sin…

Q: Solve using Laplace Transforms y"+4y = t-2 sint; y(0)= -1, y' (0)= 2,

Q: Apply Euler-Maruyama method as one step to solve the SDE 3 y dy dt + dB %3D 5 t y(1) = 2

A: Given: dy=3-y5-tdt+dBt y1=2 We have to apply Euler-Maruyama method as one step to solve the SDE.

Q: dy 4 t + 3cost + e-2t dt dy dt3 solve the equation using laplace

A: Use the following formulae, to obtain the solution.…

Q: Solve by Laplace transforms. y – 2y = f(t), y(0) = 0.

A: The given Laplace transform is: y'-2y=ft, y0=0 The given function is: ft=10 0≤t<28…

Q: d'y H.wl: dr? dy dy +2 +y e", y(0) = 1, (0)= 2, find by Euler's method y(0.75) dt dt

Q: Find dw whise w - = xy+yz+zz. dt

Q: dx If z4 = x+y2, dy 3, and z > 0, find dz -1, dt at (x, y) = (0, 4). dt %3D %3D dt Please give an…

Q: Solve this equation by using laplace y''+2y'+5y=e-tsin(t) y(0)=0, y'(0)=1

A: In this question given that a differential equation and we find solutions of this by using Laplace…

Q: Solve using Laplace transforms. y" – y' + 5y = 58(t –"/6) sin t y(0) = y'(0) = 0 -

A: The Laplace transform is an integral transform that converts a function of a real variable t to a…

Q: If x2 + y? + z2 = 9, dt dy = 9, find dt dz when (x, y, z) = (2, 2, 1). = 4, and %3D dt %3D

Q: Can you help me step by step with this problem?

A: Apply exponent rule for the exponent then use chain rule Exponent rule: d/dx(x^n)=n*x^(n-1)Chain…

Q: (a) A beam is fixed at its left end x = 0 but is simply sup- ported at the other end x = L. Show…

Q: The function u(x, y) = 2020xY is a solution of the Laplace's equation True False

A: The given equation is: ux,y=2020xy The given function is a solution to Laplace's equation.

Q: L{t}(s) = / t dt te -at %3D

A: Here we use integration by parts.

Q: What is laplace y(s)=(s^2+2s)/s^4,find y (1)?

A: Use laplace inverse

Q: dy da at z = – 5 if y = 3x° + 3x and dt = - 1. dt Find - dy dt Submit Question P Type here to search

A: Differentiate wrt t

Q: 15. What would you choose for your u here if you used integration by parts? f 3t e2" dt а. t b. e21…

Q: Solve the equation using Laplace transforms. y' – 5y = 8(t), y(0) = 6. Evaluate your soltion at t =…

A: we are given , y'-5y=δ(t) taking laplace L(y') - 5L(y) = L[δ(t)] from laplace table we are using ,…

Q: Show that if

A: To Determine: show that dydt=ky1-y Given: we have y=11+be-kt Explanation: we have y=11+be-kt…

Q: Solve by Laplace transforms. y – 3 | y(T)dr = 4e' sin(2t). %3D 0,

A: by Applying Laplace transformation and inverse Laplace transformation we get the answer

Q: aample: usi the Laplace Trans Selve! the initial_value problem. dy +3y 13 Sin (at), Yc0) =6 dt

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q2. (а) Use the improved Euler method to find the approximation of y(0.02) and u(0.02) in two steps.…

A: As per Bartleby guidelines, for more than one questions asked, only first is to be answered. Please…

Q: 19. Solve y'(1) + y(t) = sin t; y(0) = 1 by Laplace transfrom. %3D

Q: Find the solution for three cases of damped motion. my" + cy' + ky = 0 with m= 10, k = 90 y(0) =…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: What is the equation of the streamline that passes through the point (2, 21) when t = 2s if the…

Q: Determine the linearity and solve for the general solution to the given DE dx = ecos y dy х cot y

Q: Use the Laplace frantorm to sorve He Imitial value problem y"tHy'+3y =| - u (t-2]-u (t -4) +U (t-6)…

A: We will find out the required solution.

Q: Solve y" + 12y' + 36y = expressing 0 with y(0) Laplace 5, y' (0) = 0 Y (s). the solution in space,

Q: integrate ƒ over the given curve. ƒ(x, y) = x + y, C: x2 + y2 = 4 in the first quadrant from (2, 0)…

A: We have to find the integral The parametric equation of given curve is

Q: a²z + ax? (c) Show that the function z = e* sin y + e cos x satisfies Laplace equation a²z = 0. ду?

A: Since you have posted multiple questions in this question which are not interlinked so I do first…

Q: by ", +Hy =0 . . (1) subject to u(x, 0) = S(x), u,(x. 0) = g(x) and let uz be the solution of the…

A: If a small change(let's say ) in the data(Initial/ boundary/source/coefficient etc) of the given…

Q: dy If y = (t + 5t + 6) (2t² + 4), find dt dy %3D dt Submit Question

Q: Solve using Laplace transforms. y" – y' + 5y = 58(t – "/6) sin t y(0) = y'(0) = 0 - %3D

A: The Laplace transform is an integral transform that converts a function of a real variable t to a…

Q: Can you help me step by step with this problem?

A: Firstly, we set u=2t and v=(3t^2-70)^5, then we fid du/dt and dv/dt

Q: dy 3. da + y = 2xy?e"

Q: Find the integrating factor that converts the equation below into an exact equation y de + (2x – y…

Q: T/2 %3D cos (2wt + O, + ©z)dt = 0 -/2

A: The solution are next step is

Q: Show that the function z = ex sin y satisfies Laplace’s equation ∂2z / ∂x2 +…

Q: Ex: verifay u = e* cos y is a solution of laplace eqution

A: Solution:Given u=ex cos yTo verify u is a solution of Laplace equation:i.e.,…

Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form : dydx=ax+by+ca'x+by'+c', provided ,…

Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Laplace Tranformation. Initial…

A: Consider the given initial value problem as y'''-4y''+2y'-8y=6ex-x2+1 with y0=y'0=y''0=0. Apply…

Q: uct Theorem. 10. K y KM=

A: Solution

Q: 5.Express this model of an electric circuit d² y dy +6¹ +5y=sin10t, y(0)= 0, y'(0) = 1 dt² dt As a…

A: First I have introduced two functions and then find pair of first order differential to the given…

Q: dy -2y 3cos3t – 11sin3t dt? dt

Q: Verify the Pierre-Simon Laplace equation ∂2f/∂x2+∂2f/∂y2=0 with f(x,y)=ln∣x2+y2∣

Question

Hey, I need the answers to these questions. It's urgent.

Don't solve 3b just use the conditions, For Laplace, show DETAILED STEPS please. Especially when you're doing inverse.

For 3e just specify the regions.

d²y
dt2
dy
4
+ 3 + 40y = 0 , t>0
dt
where y(t) = displacement in meters, and t = time in seconds.

(3-b Assuming y(0) = 0 and y'(0) = 1, determine the particular solution of y(t).
(3-c) Use Laplace transform to solve the given differential equation with the same initial conditions
in (2-b).
(3-d) Comment on how your mathematical solution behaves in transient and steady state regions.
(3-e) Builda Simulink block-model suitable forgenerating the results-of the DE. Show the-model
-and the results-in-your repert andspecify the transient and steady state regions. Make sure you
submit the simulation file (properly named).

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 with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Laplace Transformation$

Learn more about

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