Q: For the ODE dy = y² – 3y dt find a(yo) for Yo < 0 O 00 -V3 O V3
A: Answer
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Q: Q1) The impulse response of a linear time-invariant system is: h(n) [1 0 -1 3-2 4-2], Determine the…
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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k² in the…
A: given equation xy'=ylnx-lny with initial conditions y1=4 using Runge Kutta method with h=0.1 , the…
Q: Let y1 = 9cos(2x) and y2 = 2cos2 (x) – 2sin? (x). Calculate the Wronskian, W(y1, Y2). Give your…
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Q: where c is a constant that makes this a valid p.d.f.. Let Y = EX?. Use Markov's inequality to find…
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Q: (a) Let f(r, y) = -2r*y² – In(y²). Compute fyzz (b) Let g(r, y, 2) = 1(3y* – 52²). Compute
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Q: Solve the ODE: xy"+2y'-xy Oby using the Frobenius method.
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Q: m: Consider ozyz. Find all the first order partial denvatio
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A: I have attached 2 photo copy with clear explanation, please check it.
Q: prove that F(r) = 4z-3z is chaotic on the interval [-1,1]. (Hint: consider g(6) = 30 on S'.)
A: The given function: F(x)=4x3-3x The given interval is [-1,1] To prove that F(x) is chaotic: Chaotic…
Q: (b) Find the Wronskian W[y1,Y2](t) of y1 and y2-
A: W[y1,y2]= -t2et
Q: If the Wronskian of the DE x’y' + xp(x)y' + 3y = 0 is μ (x) er Find p(x) = %3D
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Q: 1. Let z = In(2x2 + y) with x = Vt and y = t. Use the chain rule to find
A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…
Q: 4. У(п) %3D [x1(п) * х2(п)] х1(п) %3D 26(п) + 56(n-2) х2(п) 3D 46(n-4)
A: Given y(n)=x1(n)*x2(n) Where x1(n)=2δ(n)+5δ(n-2) (1) x2(n)=4δ(n-4)…
Q: Q3: Find the Wronskian for the following solutions. Y, = 1, Y =In
A: Wronskian= 112ln1+x1-xd1dxddx12ln1+x1-x= 112ln1+x1-x01x+11-x=1x+11-x
Q: Suppose z x'y' where x-st and y -t -s. Use the chain rule to determine as and a) -2xy't-4yx's;-…
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Q: B. Differentiate the following using Chain Rule. 3.f (2) = (322- 플 + z)" (3=² – +=
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Q: Q2// A :-Compute for the following at t=1 z= ze", z =t, y=t1
A: Since you have asked multiple questions in a single request so we will be answering only first…
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Q: 2. Find the linearization L(x, y, z) of f(x, y, z) = x² + xy + yz + 22 at the point (0, 1, 2).…
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Q: What is the Laplace transformed version of this ODE a" + 3x' + 9x = e=t with initial conditions a…
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Q: Use the chain rule. If W=u^3 and U=t-1/t+1, find dw/dt when t=1
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Q: Calculate (a) the partial fraction expansion of F(s)= s(s² +2¢0„s+a)" 0<5 <1 and (b) f(t) by inverse…
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Q: (b) Find the open t-intervals on which the particle is moving to the right. (Enter your answer using…
A: The solution for "b" is given below:
Q: Q2-By using Chain Rule, find au/ax, du/dy, du/dz at (x, y, z) = (√√3,2,1) U= p-q q-r p=x+y+z…
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Q: Use the Laplace transform to solve the given initial-value problem. use the cover up method for the…
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Q: Suppose that w = f(x,y, z), x = h(s), y= g(s, t), z= k(s,t) and all the conditions required for the…
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Q: b) Calculate Ele3W(t)+2N(t)–2W(u)-N(u)], where N(t) is a standard Poisson process with intensity ),…
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Q: Let {x; t = 1,2, ...} be a covariance stationary process and define y, = Cov(x, x+h) for h = 0.…
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Q: Compute the Wronskian for 2t^2y''+3ty'-y=0
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Q: 2. If the Wronskian of y1 and y2 is e2" (x² + 5) and y1 = e2", find y2. %3D
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Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²
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Q: Show that,in LU decomposition, the number of operations required to find U is 2 1 1 for a n x…
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Q: Find the Wronskian of (x , e - 2x , e³x)
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Q: d the Taylor polymomialR 6) of order 3 generated at x= 0 by Fox) : Cos (x J+Mett dt
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Q: X(z)= 22-1 1-3z¹+z²+52-3
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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…
Q: :)Find the steady-state soluhon to + 2a dy +wyza nhere a represents a constent force
A: Given:d2ydt2+2αdydt+ω2y=a, where a represent a constant force.
Q: H.W. (1): Use the information in example (1) to evaluate y (0.2) by using 3rd ordered Runge-Kutta…
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Q: -3t The Wronskian of y,(t) = e-2", y½(t) = e =3' is -e-5t. Select one: True False
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- Determine the wronskian W(e^t, t*e^t, e^(-t)). a. cannot determined b. 0 c. 4e^t d. 6e^t e. 2e^tTwo interacting populations of hares and foxes can be modeled by the recursive equations h(t + 1) = 4h(t) − 2 f (t) f(t+1)=h(t)+ f(t). For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f (t). a. h(0)= f(0)=100 b. h(0)=200, f(0)=100 c. h(0)=600, f(0)=500Find the linearization L(x) of y=e10xln(x) at a=1
- Consider the geometric Brownian motion with σ = 1: dS = μSdt + SdX, and consider the function F(S) = A + BSα. Find any necessary conditions on A, B, and α such that the function F(S) follows a stochastic process with no drift.(a) Find a conjugacy C between G(x) = 4x(1-x) and g(x)=2-x^2 . (b) Show that g(x) has chaotic orbits.The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.
- Prove the following property of the compound Poisson process:1. E(xt) = λ t E(Y).max z = x1 + 3x2 s.t. x1 + 2x2 ≥ 6 2x1 + x2 ≤ 8 x1, x2 ≥ 0 For the LP above, which of the following is its standard form? max z = x1 + 3x2 s.t. x1 + 2x2 + s1 = 6 2x1 + x2 + s2 = 8 x1, x2, s1, s2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 – e1 = 6 2x1 + x2 – e2 = 8 x1, x2, e1, e2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 + s1 = 6 2x1 + x2 – e2 = 8 x1, x2, s1, e2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 – e1 = 6 2x1 + x2 + s2 = 8 x1, x2, e1, s2 ≥ 036. Over the last three years, a portfolio manager investing in large cap stocks had an average return of 25% when the small cap benchmark he selected returned 19.5%. Is the performance consistent with efficient market hypothesis? a. No, it is not. It is a violation of weak form EMH. b. No, it is not. It is a violation of semi-strong form EMH. c. No, it is not. It is a violation of strong form EMH. d. No, it is not. It is a violation of all forms of EMH. e. Yes, it could be. The manager selected an inappropriate benchmark.
- If the moment generating function of X is M(t)= 0.2+0.3(e^-t)+0.5(e^3t), then P(X>-1)=f X1,X2,...,Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + ···+ Xn is a sufficient estimator of the parameter θ.Change Ax = b to x = (I -A)x + b. What are Sand T for this splitting? What matrix s-1y controls the convergence of Xk+l = (I -A)xk + b?