Find the Laplace transform of the given differential equation with initial conditions: dy -3y e v(0) = I dt 8-5 A -5s + 6 s-1 B -3s +6 3-2 2-3s +6 3-1 -5s +6
Q: 3. L{y"' + y' + 2y = sin 3t} ; when y(0) = 0, y'(0) = 0, y"(0) = 0
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Q: b) Use Laplace transform to solve the system of differential equations dr 4y, dt dy dt +x = y + 3e*,…
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Q: 2. L{ 2y" + y' – 5y = e“ }; when y(0) = 2, y'(0) = 1 %3D
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Q: y"+6y'+9y= 0, y(0)=- 1, y' (0) = 6 %3D
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Q: Use the Laplace transform to solve the given system of differential equations. 2dx/dt + dy/dt − 2x =…
A: please see the next step for solution
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Q: Q5. Find the Laplace Transform of the funetions x(t) and yıt), which satisfy the coupled first…
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A: Given: Let us consider the given ut=iuxx ; ux,0=e-x2
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Q: What is the Laplace transform of the given differential equation? y" 2y1 = 0, y (0) = 0, y
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Q: Solve these second order differential equations by applying the Laplace transform. (iii) y" + 4y =…
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Q: Give the Laplace transform of the solution to y' + 3y-4 e* – 2 sin(2 x), y(0)=5]
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Q: Use the Laplace transform to solve the given system of differential equation dx 3y + et %3D dt dy =…
A: Given differential equations are : dxdt=3y+et .......(1)dydt=12x-t…
Q: The solution of the differential equation using Laplace transform dy 10y = 12e is %3D given that…
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Q: - 3y' + 2y = e3* when y(0) = y'(0) = 0
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Q: Find the solution of the following Partial differential equation using Fourier transform. du %3D…
A: The Fourier transform of the function u(x) is represented as U(k) or F[u(x)], it is defined as…
Q: Use laplace transform to solve the given system of differential equation; a) {dx/dt=2y+e^t…
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Q: b. (e2t – e-2t)2
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Q: Use Laplace transform to solve the partial differential equation: ²ud²u du(x,0) t> 0, 0<x<1, u(x,0)…
A: Solution :-
Q: Find the Fourier transform of the function y(t) if y(t) satisfies the differential equation d°y_dy…
A: First note that: F-1e-5ω=12π∫-∞∞e-5ωejωtdω =12π∫-∞0e5ωejωtdω+12π∫0∞e-5ωejωtdω…
Q: Solve these second order differential equations by applying the Laplace transform. (ii) 4y" – 12y +…
A: Here we use the formula L{y'(t)}= sL{y(t)}-y(0) and L{y''(t)}=s2 L{y(t)} -sy(0)- y'(0)
Q: Use the Laplace transform to solve the given system of differential equations. dx = 3y + et dt dy =…
A: We have given two equations dxdt=3y+et ...(1) dydt=12x-t ...(2) The…
Q: Determine the Laplace transform of the differential equation 3y’’’ – y’ = e-3t t5 - 9y’’ + 4y With…
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Q: y' + v = e2t y(0) = 0
A: Given the IVP y'+y=e2t....(1) with the initial condition: y0=0...(2) We shall solve the differential…
Q: Using Laplace transform, find the solution to the differential equation y" + 4y' + 3y = 8te' + 6e²…
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Q: d?y = v2sin/2t; with y(0) = 10, y(1)(0) = 0 %3D dt2
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Q: Consider the following initial value problem, in which an input of large amplitude and short…
A: The given differential equation is: y''+4π2y=2πδ(t-1) ; y(0)=0, y'(0)=0
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A: The system of differential equations is x' +4x+3y=0y'+3x+4y=2et. Apply Laplace transform: sXs-x0…
Q: Use the Laplace transform to solve the given system of differential equations. 2. dx = x - 2y dt dy…
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Q: Consider the following. d²x = t² dt² d²x - = 6t dt² x(0) = 4, x'(0) = 0, y(0) = 0, y'(0) = 0 Give…
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Q: Use a LaPlace transform to determine the solution of the following systems with differential…
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Q: 1. L{y" + 4y' + 8y = 0}; when y(0) = 2, y'(0) :
A: To solve the question, we shall use the following rule of Laplace transform 1.…
Q: Transform
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Q: Find the solution of the integro-differential equation using Laplace Transform: y' + 3y + 2 ydt =…
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Q: Find the solution of the differential equation using Laplace Transform: y" – y' – 6y = 0; y(0) = 6,…
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Q: Find the solution of the integro-differential equation using Laplace Transform: y" + 4y' + 3y = 2…
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Q: Use the Laplace transform to solve the given system of differential equations. dx/dt=-x+y dy/dt=2x…
A: Consider the given differential equations and initial conditions,
Q: Use the Laplace transform to solve the given system of differential equations. dx = x - 2y dt dy 5х…
A: Hey there. Since you have sent more than one question we are bound to do just one question at a time…
Q: Consider a mass-spring system that responds to an external force f(t) in accord with the…
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Q: Use the Laplace transform to solve the given system of differential equations. dx/dt = -x+y dy/dt…
A: Given: A 0.25 kg object with the speed of 6 m/s at point A and kinetic energy of 8 J at point B.
Q: Use Laplace transform to solve the ordinary differential equation with discontinuous force. 10 sint…
A: Here, we will be solving the ordinary differential equation with discontinuous force by the method…
Q: Solve these second order differential equations by applying the Laplace transform. (i) 6y" – 5y – y…
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Q: Use the Laplace transform to solve the following system of differential equations. dx = x - 2y dt dy…
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Q: The Laplace transform of L(sin 5t sin 3t) is 1 2 s2 + 22 g2 + 82 2 s2 + 22 s+ 82 2 g2 – 22 s2 + 82…
A: L(sin5t sin3t) 1/2(L(2sin5tsin3t)) 1/2L(cos2t -cos8t) 12ss2+22-ss2+82 Option (b)
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.(Please answer 2nd question ) 1. Assume that there are two types of driver: One is careful and has a 0.1% of being in an accident. The other type is careless and has a 1% chance of being in an accident. Assume that each type represents 50% of the population. If there is a law mandating that all drivers buy insurance that would cover $100,000 in damages, the actuarially far premium for all drivers would be ________ while if there were no such law, the fair premium would be __________. Group of answer choices A) $100, $1,000 B) $100, somewhere between $100 and $1,000 C) $550, somewhere between $550 and $1,000 D) $550, 1,000 Ans :- option c ). 2. The term(s) used to describe the problem(s) that make the actuarially fair premiums different in the two cases in the question above is(are) Group of answer choices A) Asymmetric information B) Moral hazard C) Adverse selection D) A, B, and C E) A and CConsider two points (x0, y0) and (x1, y1). Prove that the first order Langrange polynonial is equivalent to linear interpolation.
- Question No. 4: According to the All Pakistan Software Developer Association (APSDA), developers generally spend more than 40 hours each week working on software and web development. The Table 4.1 shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers. Table 4.1 Software Developers 56 54 54 49 61 48 58 60 59 53 50 58 55 57 52 Web Developers 47 50 46 47 48 49 46 55 44 42 ---- a) What is the third quartile of spending working hours for Software developers? b) Create a box plot for the number of hours worked for Software developers. c) Create a box plot for the number of hours worked for Web developers. d) Comment on the differences between the box plots for Software & Web developers.1 and 2 are from the same exercise.plz provide handwritten answer for question 4 part d asap for getting upvote
- plz provide handwritten answer for question 4 part c asap for getting upvoteSuppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…I need help with all parts of this quesiton 18
- SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.Question #1 chpt 10 hypothesis test and H0 and Ha