Suppose Y is the number of phone calls to an office during certain time with the moment generating function m (t) = e3e²–3 Find E (Y³)

Q: Use laplace transform to find the initial-value problem of; a) y''-4y'=6e^3t-3e^-t; y(0)=1,…

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Q: Use Laplace transform technique to solve the initial value problem y" – 4y = e*, y(0) = 0, y'(0) =…

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Q: I need to use the Laplace Transform to solve the given initial value problem

A: We will solve the given differential equation using Laplace transform method.

Q: Use the Laplace transform to solve the given initial-value problem. y' + 3y = e-3t, y(0) = 2 y(t) =

A: Given : initial-value problem          y'+3y=e-3t ,   y0=2 To find : solution of IVP using Laplace…

Q: у" (() + у(t) 3 0 y(0) = 0 y'(0) = 1

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Q: Use the Laplace Transform to solve the given initial-value problem.   2y' + y = 0;  y(0)= -3

A: ANSWER:

Q: (a) Calculate the moment generating function for X. (b) Use the moment generating function to…

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Q: use the Laplace transform to solve the initial-value problem 3. y" + y = 6(t -T)+ 6 (t - y(0) = 0,…

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Q: Find the particular solution of y' - 2y = e3x if y(0) = -5 using Laplace Transform. %3D %3D

A: The given initial value problem is                                               y'-2y=e3x , y(0)=-5…

Q: 7. A damping system with a negligibly small spring constant is modelled by x' +bx' = a e1 with…

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Q: By using method of Laplace Transform, solve the initial value problem of d²y 3- dx2 + 2y = et dx…

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Q: Suppose Y is the number of phone calls to an office during certain time with the moment generating…

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Q: 4. Use Laplace transform to solve the fowowing Initial -value problem : y" *y =hlt),ylo)=1,y'l=2…

A: In the question it is asked to calculate the initial-value problem using Laplace transform.

Q: 4.) Suppose X has moment generating function MX(t) = 0.3e−t + 0.1 + 0.1et + 0.2e2t + 0.3e3t. What is…

A: It is an important part of statistics. It is widely used.

Q: Use laplace transform to solve the initial value problem; a) y''+9y=cos3t,y(0)=2, y'(0)=5.

A: We shall use Laplace and inverse Laplace transform to solve this

Q: If the moment generating function of X is M(t)= 0.2+0.3(e^-t)+0.5(e^3t), then P(X>-1)=

A: Given that the Moment generating function of X is,

Q: Use laplace transform to solve the initial value problem; a) y''+2y'=gamma(t-1),y(0)=0,y'(0)=0

A: We have to find Laplace transform of  y''+2y'=gamma(t-1),y(0)=0,y'(0)=0

Q: Use the Laplace transform to solve the given initial-value problem. y + 4y= est, y(0) = 2

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Q: use the Laplace transform to solve the given initial-value problem. dy di -Y= 1 P. | У(0)-0

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Q: 10) Use the Laplace transform to solve the given initial-value problem. y'-y = 2 cos (3t) when y(0)…

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Q: Use laplace transform to solve the initial-value problem; a) y'+y=B(t-1), y(0)=2

A: Given below the detailed solution

Q: Suppose solving an equation by Laplace transform results in 6 s Y(s) = s² + 64° Evaluate y(").

A: y(s)=ℒ(6ss2+64) =-3(2si(8s)-π)sin(8s)-6cos(8s)ci(8s) y(π)=-3(2si(8π)-π)-6cos(8π)si(8π)

Q: Use Laplace transforms to solve the initial-value problem. x'' + 4x = cos t;   x(0)=0, x'(0)=0

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Q: Use the Laplace transform to solve the initial value problem y' -3 y=cos(6 t), y(0) = 6

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Q: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of y, for the linear…

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Q: if m1 =1 , m2 =1, c=2, k1 =3, k2 =2 and all initial conditions are zero, how can I solve this by…

A: Here, m1=1kg, m2=1 kg, c=2 Ns/m and k1=3 N/m, k2=2 N/m. The differential equations can be re-written…

Q: ind E(X) and V(X) for 28(t) = 0.4e2t +0.6e¬3t. random variable X whose moment-generating function i…

A: It is an important part of statistics. It is widely used.

Q: Use Laplace transform to solve the initial-value problem,y′′+y=3; y(0)=1,y′(0)=1

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Q: Use Laplace transform to solve the given initial value problem. Graph your solution on interval (0,…

A: Use laplace transform to solve the given initial vlue problem.y''+y=∑k=1∞δt-kπ,   y0=0, y'0=1And to…

Q: Use the Laplace transform to solve the initial value problem y" + 4y = e2t, y (0) = 1, y' (0) = -1.

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Q: Suppose X has moment generating function M (t) = est Then E (X) = 1-2t

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Q: 2t If X has moment generating function M (t) = the E (X) is equal to 1+3t

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Q: 1. Calculate the second moments in time and frequency around time zero and frequency zero,…

A: Given: The function st=e-t22   To calculate: The second moments in time and frequency around time…

Q: Q3 By using method of Laplace Transform, solve the initial value problem of d²y 3. dx2 + 2y = e=t dx…

A: Please check the question. The question should be, d²y/dt² -3dy/dt+2y=e^(-t) subject to y(0)=y'(0)=0

Q: Consider the IVP dy = (). Iy(20 -- y), y(0) = 1. dt %3D (a) Solve the IVP, finding y explicitly as a…

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Q: Solve the initial value problem using Laplace Transform of: y'' - 3y'+10y = e-2t when y(0)=0,…

A: Given initial value problem is y''-3y'+10y=e-2t,y0=0, y'0=1 To find the solution of the equation.

Q: 6. Use Laplace transform to solve the initial value problem: y" - 2y' + 2y = et, y(0) = 0, y'(0) =…

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Q: 8. Use the Laplace transform to solve the given initial-value problems. у" - 2у'+2у%3Dsinf, y(0) 3…

A: Given differential equation is  y"-2y'+2y = sin(t) , y(0) = 0, y'(0) = 0.

Q: use the Laplace transform to solve the initial-value problem y" + y = 6 + y(0) = 0,y'(0) = 0

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Q: If X ~ gamma(r, 1), show that the moment generating function of is given by if t < A. Mx(t) = { ()",…

A: Given, Mxt=λλ-tr As we know that, Ex=Mx'0Ex2=Mx''0 Now, Mx't=ddtλλ-tr=rλrλ-tr+1

Q: If the moment-generating function of X is a. M(t)=(1–21)"", 1 < ½, Find the p.d.f of X hence use it…

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Q: Use Laplace Transform to solve the initial-value problem. y"-4y' +4y=°e2t, y(0)= 0,y'(0)=0.

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Q: 6. The energy stored 'W' in an inductor is given by (t2 - 21 -2t dt W =

A: The solution are next step

Q: Use the Laplace transform to solve the given initial-value problem. y" - y' = e' cos t, y(0) = 0,…

A: GIVEN: y" - y' = et cost

Q: Assume the stock price follows a geometric Brownian motion, where current price S0=50, expected…

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Q: (a) Calculate the moment generating function for X. b) Use the moment generating function to…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = ett, y(0) = 2 y(t) =

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Q: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of yn for the linear…

A: Here we assume f(x,y)=sin(x)-y  Then f(0,1)=sin(0)-1=0-1=-1 etc.

Q: Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 4e2t - 2e-t, y(0) =…

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