Consider the differential equation:
d
y
d
x
=
5
x
...
Mathematics, 24.01.2022 16:00, ethangeibel93
Consider the differential equation:
d
y
d
x
=
5
x
with initial condition y(0)=1.
A. Use Euler's method with two steps to estimate y when x=1:
y(1)?
(Be sure not to round your calculations at each step!)
Now use four steps:
y(1)?
(Be sure not to round your calculations at each step!)
B. What is the solution to this differential equation (with the given initial condition)?
y=
C. What is the magnitude of the error in the two Euler approximations you found?
The magnitude of error in Euler with 2 steps =
The magnitude of error in Euler with 4 steps =
D. By what factor should the error in these approximations change (that is, the error with two steps should be what number times the error with four)?
factor =
Please answer in detail. I am making an error somewhere.
Thanks!!
Answers: 1
Mathematics, 22.06.2019 00:00, egirl7838
Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
Answers: 2
Mathematics, 15.03.2020 03:13
Mathematics, 15.03.2020 03:20
English, 15.03.2020 03:20