Question
In: Advanced Math
In each of problems 1 through 4: (a) Find approximate values of the solution of the...
In each of problems 1 through 4: (a) Find approximate values of the solution of the given initialvalue problem at t=0.1, 0.2, 0.3, and 0.4 using the Euler methodwith h=0.1 (b) Repeat part (a) with h=0.05. Compare the results with thosefound in (a) (c) Repeat part (a) with h=0.025. Compare the results with thosefound in (a) and (b). (d) Find the solution y=φ(t) of the given problem and evaluateφ(t) at t=0.1, 0.2, 0.3, and 0.4. Compare these values with the results of (a), (b), and (c). 3. dy/dt = 0.5 -t +2y, y(0) = 1 Please also provide solution using Matlab.
Solutions
Colby Messinger answered 1 year agoRelated Solutions
Let y′=y(4−ty) and y(0)=0.85. Use Euler's method to find approximate values of the solution of the...
Let y′=y(4−ty) and y(0)=0.85.
Use Euler's method to find approximate values of the solution of
the given initial value problem at t=0.5,1,1.5,2,2.5, and 3 with
h=0.05.
Carry out all calculations exactly and round the final answers
to six decimal places.
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 the following data to work through problems 4-6. 50.0 mL of each solution was used...
Use the following data to work through problems 4-6.
50.0 mL of each solution was used in each experiment.
Each solution had a molarity of 2.00 M.
The density of the solutions once mixed are 1.03 g/mL.
The following table is data collected from an actual
experiment.
Initial Temp
Final Temp
Temp Change
NaOH + HCL
19.85
33.07
13.2
NaOH+ NH4Cl
19.78
20.40
0.62
HCl + NH3
20.16
32.05
11.89
Calculate the amount of heat energy,
qsurroundings, produced in each...
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
Assessment 9: Making the Right Decision Worksheet Problems 1–4 Input values Complete problems 1–4 based on...
Assessment 9:
Making the Right Decision Worksheet
Problems 1–4
Input values
Complete problems 1–4 based on
the following scenario.
Megacorp needs to decide which
of two new projects to invest in.
Company name
Megacorp
·
Project A is an investment in new machinery that
will cost $750,000
Tax rate
30%
and has a four-year life with no salvage
value.
Discount rate
6%
·
Project B is an investment in new machinery that
will cost $750,000
Project A
Project B
and...
Find the general solution to the equation ?″+4?=1
Find the general solution to the equation
?″+4?=1
In each of Problems 16 through 25, find all eigenvalues and eigenvectors of the given matrix....
In each of Problems 16 through 25, find all eigenvalues and
eigenvectors of the given matrix. 16) A= ( 1st row 5 −1 2nd row 3
1) 23) A= (1st row 3 2 2, 2nd row 1 4 1 , 3rd row -2 -4 -1)
For a 0.100 M solution of K2HPO4, find each of the following values: pH, [H+], [HPO42-],...
For a 0.100 M solution of K2HPO4, find each of the following
values: pH, [H+], [HPO42-], [PO43-], and [H2PO4-]. Use the
minimum number of approximations.
Use the Runge-Kutta method with step sizes h = 0.1, to find approximate values of the...
Use the Runge-Kutta method with step sizes h = 0.1, to find
approximate values of the solution of
y' + (1/x)y = (7/x^2) + 3 , y(1) = 3/2 at x = 0.5 .
And compare it to thee approximate value of y = (7lnx)/x +
3x/2
Use R to solve: Find the approximate solution x' to : 0.89x1 + 0.53x2 = 0.36...
Use R to solve:
Find the approximate solution x' to :
0.89x1 + 0.53x2 = 0.36
0.47x1 + 0.28x2 = 0.19
Find the error x'-x* between the computed solution and the true
solution.
Compare the size of this error with the size of the residual
r=b-Ax'
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