We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
lPLS SHOW ALL WORK Problem 6. Prove that the family of functions {Y1 = 1, y2...
Problem #1 Y1(x)= x and Y2(x)=e* are linearly independent solution of the homogeneous equation: (x-1)y"-xy'+y = 0 Find a particular solution of (x-1) y”-xy’+y = (x-1)} e2x
please show all steps
1.)
2.)
3.
(a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. (1) y = yenye (2) x²y = 3x cos(2x) + 3xy (b) Find the general solution of (1). Given the one-parameter family y3 = 3 +Cx? (a) Find the differential equation for the family. (b) Find the differential equation for the family of orthogonal trajectories. (e) Find the family of orthogonal trajectories....
Please show how to solve. Correct answer shown.
Use variation of parameters to find a general solution to the differential equation given that the functions y, and y2 are linearly independent solutions to the corresponding homogeneous equation for t>0. - 2t + ty +(2t - 1)x - 2y =ềe -2t, Y1 = 2t - 1, y2 = e - A general solution is y(t) = X X That's incorrect. 1 Correct answer: C1(2t - 1) + c2 e - 2t...
Please prove this solution and explain why y2 can be taken as
(x^2)(y1)
Problem 2. Find the general solution of the equation Note that one of two linearly independent solutions is yi(r) -e. Solution. Using Abel's formula, we get the following relations for the Wronskian dW pi dW 2r1 On the other hand, Comparing these two expression for W(x), we can take y2 :- r2yı. Correspondingly, the general solution is
Problem 2. Find the general solution of the equation Note...
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. yl) + 2y'' – y' - 2y = 0; y(0) = 2, y'(0) = 12, y''(0) = 0; Y1 = ex, y2 = e -X, y3 = e - 2x The particular solution is y(x) = .
The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, 0). Find the general solution of the given nonhomogeneous equation. *?y" + xy' + (x2 - 1)y = x3/2; Y1 = x-1/2 cos(x), Y2 = x-1/2 sin(x) y(x) =
Let Y1, Y2, Y3 be the observation of X. X and Y1,Y2,Y3 are all
zero mean real-valued random variables.
We are to design a linear estimator.
SOLUTION IS PROVIDED ON THE BOTTOM.
DON'T NEED TO SOLVE THE PROBLEM
MY ONLY QUESTION IS:
In part C, c = E[X]
Please explain why the inside cancels out and c becomes
just E[X]
^This part
Verify that the given functions Y1 and y2 satisfy the corresponding homogeneous equation; then find a particular solution of the given nonhomogeneous equation. x2y" – 3xy' + 4y = 7x? In x, x>0; 71(x) = x2, yz(x) = x2 In x Y(x) =
Please show all work and
steps! Would like to learn how!
Given a second order linear homogeneous differential equation a2(x)y" + a1(x)y' + 20 (x)y = 0 we know that a fundamental set for this ODE consists of a pair linearly independent solutions Yı, Y2. But there are times when only one function, call it Yı, is available and we would like to find a second linearly independent solution. We can find Y2 using the method of reduction of order....
Let Y1, Y2 have the joint density f(y1,y2) = 4y1y2 for 0 ≤ y1,y2 ≤ 1 = 0 otherwise (a) (8 pts) Calculate Cov(Y1, Y2). (b) (3 pts) Are Y1 and Y2 are independent? Prove your answer rigorously. (c) (6 pts) Find the conditional mean E(Y2|Y1 = 1). 3