Q4. Find , , expectatHen values for the nth state of the one dimensional harmonic oscillator by using the ladder operatars å and å!. mhw (6-a) 2mw 2.
Q: d?y dy Suppose you have a harmonic oscillator which obeys the ODE m- + ky = 0 where m = 1, b = 0,…
A: Given that my"+by'+ky=0 Where m=1,b=0 and k=1 To classify the behaviour of the particular…
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Q: d²y dy Suppose you have a harmonic oscillator which obeys the ODE m + b + ky = 0 where m = 4, b =…
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A: I have gotten a unsolved integration in that problem so i write as it is
Q: Assume that after months, butterflies’ populace in 1000 is calculated as: f(w) = 12w + cos(16w) +…
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Q: Consider the following IVP: у" +у'%3D-сos x;B у(0) %3D а, у(0) -b Find the general solution. A y (x)…
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A: Solution :-
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Q: A damped harmonic oscillator is described by the equation y" + In(3)y' + (1000x)²y=0 Observe that…
A: The general differential equation of the damped harmonic oscillator is y''+2ry'+w0y=0 . The…
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Q: Determine the value of w for which the following harmonic oscillator (left hand side), subjected to…
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Q: -8 6. Evaluate the integral +y² dydx
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Q: 4) It turns out the three-dimensio ball than a football. A footba a trig function like y = a cos(E…
A: Volume
Q: 3. A body is moving in simple harmonic motion with position s(t) = 3 + 2sin4nt. At what time in the…
A: s(t)=3 + 2 sin4πts'(t)=0+2 cos4πt (4π)s'(t)=8π cos4πts'(t)=08π cos4πt=0cos4πt =04πt =π2, 3π2,…
Q: Find the solution (varition of parameter) X2y11-2xy1+2y=x3sin x
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Q: (b) Now, consider the inhomogeneous problem dre Fre it =F(1,t), 00 00₂ t> 0. w(z,0) = 0, w(0,1)=0,…
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Q: What is the maximum value of y = cos(0) for values of 0 between -720° and 720? O A. -1 О в 1 O C.0…
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Q: A 1-D harmonic oscillator is in the state ep(x) = 1/N14 [34o(x) – 2µ1(x) + ½2(x)] are the ground,…
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Q: 4 f(0) = cos 0, 0s0s- %3D 3
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Q: Which of the following equations describe the harmonic oscillator with the largest frequency? Select…
A: Given a statement
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Q: Q1 (A): Find the deflection equation of simply supported beam which shown in figure by using the…
A: Given: B) The given ordinary differential equation is y''-y=sinhx+coshx
Q: A 1-D harmonic oscillator is in the state ep(x) = 1/W14 [3µo(x) – 2µ1(x) + Þ2(x)] are the ground,…
A:
Q: FG)= St SnA AS Crtrial purnts and at the 1.E va luate endponts of the gruen inteval Iden tfn (ocal…
A: Given: f(x)=x+sin x (0≤x≤2π)To find the critical points, endpoints, local/global maxima and minima…
Q: A 1-D harmonic oscillator is in the state e(x) = 1/N14 [3¥o(x) – 2µ1(x) + µ2(x)] are the ground,…
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Q: 2 2メ Q1 find dy for y = Cos ( In x + e
A: we have to derivative with respect to x
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Q: H.w, considev The SyoLem by and Gass Jorolan limnat 8x-23+3=25 メ+33-2るー12 uメー5y - 3)
A: we have to find the solution of the system by Gauss - Jordan method.
Q: Given ƒ(x) = √²; t² - 25 1 + cos² (t) At what value of a does the local max of f(x) occur? x = dt
A: Ans : x= -5 we use Leibnitz's Rule to solve this problems .
Q: Find the root for the function f(r) -r(co(r) - 1) at 5. step by uning the Secant Method for the…
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Q: d²y dy Suppose you have a harmonic oscillator which obeys the ODE m- + dt2 dt + ky = 0 where m = 1,…
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Q: For the ODE y' = y²(y – 2). the solution $y=0$ is O asymptotically stable O unstable O semi-stable
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Q: Q2: Fill in the blanks : 1- ff f(x,y)dydx represents the. 2- y" +(3y')5 - sinx = 4 of order 3-ye…
A: Since multiple questions are asked I am answering first 3 subparts
Q: Suppose you have a harmonic oscillator whose displacement from the equilibrium position is given by…
A: Given that A harmonic oscillator whose displacement from the equilibrium position is given To find…
Q: The orthogonal trajectories of y 4az is , where a is arbitrary constant O + = 2c %3D = 4c 2 O y+a -…
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Q: y" + 3y' + 2y = e* (t2 + 1) sin(2x) + 3e- cos x + 4e"
A: Answer
Q: A 1-D harmonic oscillator is in the state eu(x) = 1/N14 [3¼o(x) – 2µ1(x) + Þ2(x)] are the ground,…
A:
Q: d²y + b dt Suppose you have a harmonic oscillator which obeys the ODE m- + ky = 0 where m = 1, b= 8,…
A:
Q: The orthogonal trajectories of r = 5a sin 0 is , where a is an arbitrary constant p = c cos 0 r=…
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Q: The orthogonal trajectories of y = ce5" where c is arbitrary constant. is - 2x + 2C = 5y? 2x + 2C =…
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Q: ). In Chemistry, the Lennard-Jones potential, 12 R V (r) = - 2 r> 0, is a simple function used to…
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Q: So x, = c,e +c,e", and x, = 3c,e" +c,e" Sketch the trajectories in phase plane 2 -2 -2 Comment
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Q: 2. Use the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b.…
A: In part (a) we plot two graphs one of y=x and another of y=cos(x) and with the help of the graphs we…
Q: A damped harmonic oscillator is described by the equation y" + In(3)y' + (1000)²y= 0. Observe that…
A: Solve
Q: state where in the ty-plane the hypotheses of Theorem are satisfied 6. y′=ln|ty|1−t2+y2
A: A hyperbola is an open curve with two branches, which are symmetric and are mirror images of each…
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.If X1, X2, ... , Xn constitute a random sample of size n from an exponential population, show that X is a consis-tent estimator of the parameter θ.Theorem 6.4 states that the moment-generating function of the gamma distribution is given by Mx(t) = (1-βt)^(-α).
- Let X1, . . . , Xn be iid with pdf f(x) = 1 x √ 2πθ2 e − (log(x)−θ1) 2 2θ2 , −∞ < x < ∞, and unknown parameters θ1 and θ2. Find the maximum likelihood estimators for θ1 and θ2, respectivelyFor b there are two cases and for c I have to plug the initial data into the odeIf X is exponentially distributed with parameter λ and Y is uniformly distributed on the interval [a, b], what is the moment generating function of X + 2Y ?
- why is the covariance of a deterministic and a stochastic process 0? This relats to Arithmetic Bronian MotionGiven the moment-generating function MX(t) =e3t+8t2 , find the moment-generating function of the ran-dom variable Z = 1 4 (X − 3), and use it to determine the mean and the variance of Z.At which point should i place the receiver on this satelite?
- Use the expected value properties to obtain the E[Y] of the following system : y = 3x + 1 , where E[X] =3Find E(R) and V (R) for a random variable R whose moment-generating function ismR(t) = e2t(1-3t2)-1Use the moment generating function technique to solve. Let X1, . . . , Xn be independent random variables, such that Xi ∼ Exponential(θ), for i =1, . . . , n. Find the distribution of Y = X1 + · · · + Xn.