Mathematics, 24.09.2021 16:10 srice6

MY NO Consider the initial-value problem y' = 3y, y(0) = 1. The analytic solution is y(x) = e3x,
(a) Approximate y(0.1) using one step and the fourth-order RK4 method. (Round your answer to six decimal places.)
1.349838
(b) Find a bound for the local truncation error in y. (Round your answer to nine decimal places.)
0.000020256
(c) Compare the error in y, with your error bound.
The actual error, rounded to nine decimal places, is 0.000021308
, which is less than
the local truncatic
(d) Approximate y(0.1) using two steps and the RK4 method. (Round your answer to six decimal places.)
1.368076
(e) Verify that the global truncation error for the RK4 method is ocn4) by comparing the errors in parts (a) and (d).
The actual error for the answer in (d), rounded to nine decimal places, is 0.202524005 X . With global truncation e
h = 0.05 to be approximately one-sixteenth the error when h = 0.1. Comparing the two errors we see that thi

MY NO

Consider the initial-value problem y' = 3y, y(0) = 1. The analytic solution is y(x) = e3x,

Answers: 2

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 17:00

How do businesses a country's economy? a. by investing in goods and services b. by increasing the unemployment rate c. by making profits

Answers: 2

Answer

Mathematics, 21.06.2019 23:30

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Calculate the total payback for a $3,500 loan at 8% annual interest with monthly payments for two years. show all of your steps. use the formula, m = pm(1 + m)^na/(1 + m)^na - 1, as needed.

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)

Answers: 1

Answer

You know the right answer?

MY NO Consider the initial-value problem y' = 3y, y(0) = 1. The analytic solution is y(x) = e3x,<...

Questions