Use the finite difference method and the indicated value of n to approximate the solution of...

Use the finite difference method and the indicated value of n to approximate the solution of the given boundary-value problem. (Round your answers to four decimal places.)

x²y'' + 3xy' + 5y = 0, y(1) = 6, y(2) = 0; n = 8

x	y
1.000	?
1.125	?
1.250	?
1.375	?
1.500	?
1.625	?
1.750	?
1.875	?
2.000	?

Expert Solution

Colby Messinger answered 3 years ago

use the method of order two to approximate the solution to the following initial value problem...

use the method of order two to approximate the solution to the following initial value problem y'=e^(t-y),0<=t<=1, y(0)=1, with h=0.5

Use Eulers method to find approximate values of the solution of the given initial value problem...

Use Eulers method to find approximate values of the solution of the given initial value problem at T=0.5 with h=0.1. 12. y'=y(3-ty) y(0)=0.5

Use power series approximations method to approximate the solution of the initial value problem: y"− (1+...

Use power series approximations method to approximate the solution of the initial value problem: y"− (1+ x) y = 0 y(0) = 1 y'(0) = 2 (Write all the terms up to the power ). x^4

Use eulers Method with step size h=.01 to approximate the solution to the initial value problem...

Use eulers Method with step size h=.01 to approximate the solution to the initial value problem y'=2x-y^2, y(6)=0 at the points x=6.1, 6.2, 6.3, 6.4, 6.5

Use Newton's method to approximate the indicated root of the equation correct to six decimal places....

Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The root of x4 − 2x3 + 4x2 − 8 = 0 in the interval [1, 2] x = ?

Use Euler's Method to make a table of values for the approximate solution of the differential...

Use Euler's Method to make a table of values for the approximate solution of the differential equation with the specified initial value. Use n steps of size h. (Round your answers to six decimal places.) y' = 10x – 3y, y(0) = 7, n = 10, h = 0.05 n xn yn 0 1 2 3 4 5 6 7 8 9 10

What are main differences between the Finite Difference Method and Finite Elements Method? How are the...

What are main differences between the Finite Difference Method and Finite Elements Method? How are the boundary and interior values of the finite element solution obtained?

Use the concentration and pH value from solution 9 and the Kw value to approximate the...

Use the concentration and pH value from solution 9 and the Kw value to approximate the Ka for acetic acid: 01. M Acetic acid(HC2H3O2) & pH = 2.30 Ka = 3.65 soln 9 is: 0.1 M NaC2H3O2 pH soln 9 is : 7.65

Compute, by Euler’s method, an approximate solution to the following initial value problem for h =...

Compute, by Euler’s method, an approximate solution to the following initial value problem for h = 1/8 : y’ = t − y , y(0) = 2 ; y(t) = 3e^(−t) + t − 1 . Find the maximum error over [0, 1] interval.

Apply Euler's method twice to approximate the solution to the initial value problem on the interval...

Apply Euler's method twice to approximate the solution to the initial value problem on the interval [0, .5], first with step size h=0.25, then with step size h= 0.1. Compare the three-decimal place values of the two approximations at x=.5 with the value of y(.5) of the actual solution. y'=y-3x-6, y(0)=8, y(x)=9+3x-ex a.) The Euler approximation when h=0.25 of y(.5) is: b.)The Euler approximation when h=0.1 of y(.5) is:

Question