I'm wondering how to start this problem. I understand you would use spherical coordinates and use the BVP to solve but I just don't know how to start it. If anyone has a solution for this problem it would be greatly appreciated.
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I'm wondering how to start this problem. I understand you would
use spherical coordinates and use...
I think the lambdas are (0, 1, -1) then how can I solve (b), (c) ?? Thank YOU! 5. [20pts] Suppose A is a 3x3 matrix wit...
I think the lambdas are (0, 1, -1)
then how can I solve (b), (c) ??
Thank YOU!
5. [20pts] Suppose A is a 3x3 matrix with independent eigenvector x,x2,x, satisfying Ay bx, -cx for any vector y ax +bx, +cx, in R (a) What is the rank of A? What are the eigenvalues of A? Describe all vectors in its column space C(A) T (b) How would you solve du/dt Au with u(0) (1, 1, 1) ? (c) What...
1. (a) Reduce the boundary value problem for 3D heat conduction with spherical symmetry u(z, y, 2...
PDE’s
1. (a) Reduce the boundary value problem for 3D heat conduction with spherical symmetry u(z, y, 2, t-u(r, t f(r) is given] to the boundary value problem for 1D heat conduction in a rod with insulated latteral surface (b) Derive し2 u(r, t) = Σ Bn sin nm-e-n2 ' , where Bn=2 ,rf(r) sin nTI, dr. τ= (c) Suppose a ball (radius L-0.1) of molten aluminum (at its melting point) is dropped into freezing water Estimate how long it...
help with differential equations. having problems with the 2nd problem, 3rd, 6th, 7th, and the rest. I don't understand how to work the 2nd, 3rd, 6th, and the rest of the questions. Homework Pr...
help with differential equations. having problems with
the 2nd problem, 3rd, 6th, 7th, and the rest.
I don't understand how to work the 2nd, 3rd, 6th, and
the rest of the questions.
Homework Problems for Handout Sheet 01 1. Show that y Ke' -2x+1 is a solution of V-y-2x-3, and then find K so that y Ke -2x+1 also satisfies y(0)-4 2. Show that y -Ke-2e +4xe is a solution of dy + y 8xe, and then find K so...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*)...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
Question about MATLAB boundary value problem. How can I solve the following problems? I would appreciate...
Question about MATLAB boundary value problem.
How can I solve the following problems? I would appreciate if
you could briefly explain how you get the answer. (In the second
problem, the selected answer is not correct.)
Given the differential equation: u" + 2u' - xu = 0 subject to the boundary conditions: du/dx (x = 0) = 4 u(x = 5) = 10 This is to be solved using a second-order accurate in space method with x = 0.1. Which...
So here is the problem and solution. i would like to understand how to solve the...
So here is the problem and solution. i would like to
understand how to solve the problem. Would someone please be able
to link me to some specific notes/resources/videos on
solving/understanding the material
thank you so much in advance!
P1. (5 pts) Y, and Y, are independent N(0,1) random variables. Let Z1 = Y, + Y , Z = Y- Y, and 23 = Y. Find Cov(2) where Z' = (21,22,23). Show your work. Solution. Note that £y = Cov...
I'm still trying to learn how to use matlab but I'm not sure how to do this at all. I am to imple...
I'm still trying to learn how to use matlab but I'm not sure how
to do this at all. I am to implement three different explicit
methods for approximating an IVP using Eulers, Runge-Kutta 4th
order method, and the trapezoidal method using the same parameters.
I'd much appreciate having just the Euler methods. but having all
three done would be greatly appreciated and will give a great
rating!
function y forward_euler (n, m, a, b, eta,F) % Use the forward...
All information needed is provided in the problem, provided you know what a manifold is! Bonus....
All information needed is provided in the problem, provided you
know what a manifold is!
Bonus. (12 points) a. Let #= {(1) +R” : =1}-{CO) <R?:1=}. Is H a smooth 1-dimensional manifold in R2? Give explicit reasoning as to why or why not. b. Let U = (0, 37/2) CR, and define y: U → R2 by cos(t) 7(t) = sin(2t)) If N = n(U), then is N a smooth 1-dimensional manifold in R2? Give explicit reasoning as to why...
1. Solve the Cauchy problem (2.1)-(2.2) for the following initial condition a) $(x) = 1 if...
1. Solve the Cauchy problem (2.1)-(2.2) for the following initial condition a) $(x) = 1 if |2<1 and $(x) = 0 if |z| > 1. b) p(x) = e-x, x > 0; $(x) = 0, x < 0. with the heat, or diffusion, equation on the real line. That is, we We begin with the hea sider the initial value problem Ut = kuxx, XER, t > 0, u(x,0) = 0(2), XER. (2.1) (2.2)
Solve by using the Gauss-Jordan elimination method: x+y-z=2 2x+3y-z=7 3x-2y+z=9 I know that you have to convert them to 1 0 0 | 2 0 1 0 | 7 0 0 1 | 9 I am just not clear on how to do this row by row
Solve by using the Gauss-Jordan elimination method: x+y-z=2 2x+3y-z=7 3x-2y+z=9 I know that you have to convert them to 1 0 0 | 2 0 1 0 | 7 0 0 1 | 9 I am just not clear on how to do this row by row. Any help would be greatly appreciated.
I think the lambdas are (0, 1, -1)
then how can I solve (b), (c) ??
Thank YOU!
5. [20pts] Suppose A is a 3x3 matrix with independent eigenvector x,x2,x, satisfying Ay bx, -cx for any vector y ax +bx, +cx, in R (a) What is the rank of A? What are the eigenvalues of A? Describe all vectors in its column space C(A) T (b) How would you solve du/dt Au with u(0) (1, 1, 1) ? (c) What...
PDE’s
1. (a) Reduce the boundary value problem for 3D heat conduction with spherical symmetry u(z, y, 2, t-u(r, t f(r) is given] to the boundary value problem for 1D heat conduction in a rod with insulated latteral surface (b) Derive し2 u(r, t) = Σ Bn sin nm-e-n2 ' , where Bn=2 ,rf(r) sin nTI, dr. τ= (c) Suppose a ball (radius L-0.1) of molten aluminum (at its melting point) is dropped into freezing water Estimate how long it...
help with differential equations. having problems with
the 2nd problem, 3rd, 6th, 7th, and the rest.
I don't understand how to work the 2nd, 3rd, 6th, and
the rest of the questions.
Homework Problems for Handout Sheet 01 1. Show that y Ke' -2x+1 is a solution of V-y-2x-3, and then find K so that y Ke -2x+1 also satisfies y(0)-4 2. Show that y -Ke-2e +4xe is a solution of dy + y 8xe, and then find K so...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
Question about MATLAB boundary value problem.
How can I solve the following problems? I would appreciate if
you could briefly explain how you get the answer. (In the second
problem, the selected answer is not correct.)
Given the differential equation: u" + 2u' - xu = 0 subject to the boundary conditions: du/dx (x = 0) = 4 u(x = 5) = 10 This is to be solved using a second-order accurate in space method with x = 0.1. Which...
So here is the problem and solution. i would like to
understand how to solve the problem. Would someone please be able
to link me to some specific notes/resources/videos on
solving/understanding the material
thank you so much in advance!
P1. (5 pts) Y, and Y, are independent N(0,1) random variables. Let Z1 = Y, + Y , Z = Y- Y, and 23 = Y. Find Cov(2) where Z' = (21,22,23). Show your work. Solution. Note that £y = Cov...
I'm still trying to learn how to use matlab but I'm not sure how
to do this at all. I am to implement three different explicit
methods for approximating an IVP using Eulers, Runge-Kutta 4th
order method, and the trapezoidal method using the same parameters.
I'd much appreciate having just the Euler methods. but having all
three done would be greatly appreciated and will give a great
rating!
function y forward_euler (n, m, a, b, eta,F) % Use the forward...
All information needed is provided in the problem, provided you
know what a manifold is!
Bonus. (12 points) a. Let #= {(1) +R” : =1}-{CO) <R?:1=}. Is H a smooth 1-dimensional manifold in R2? Give explicit reasoning as to why or why not. b. Let U = (0, 37/2) CR, and define y: U → R2 by cos(t) 7(t) = sin(2t)) If N = n(U), then is N a smooth 1-dimensional manifold in R2? Give explicit reasoning as to why...
1. Solve the Cauchy problem (2.1)-(2.2) for the following initial condition a) $(x) = 1 if |2<1 and $(x) = 0 if |z| > 1. b) p(x) = e-x, x > 0; $(x) = 0, x < 0. with the heat, or diffusion, equation on the real line. That is, we We begin with the hea sider the initial value problem Ut = kuxx, XER, t > 0, u(x,0) = 0(2), XER. (2.1) (2.2)
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