The approximate values of the solution of initial value problem y ′ = 0.5 − t + 2 y , y ( 0 ) = 1 using Euler method with h = 0.1 at t = 0.1 , 0 .2, 0 .3, and 0 .4 .

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Answer 1

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Chapter 2.7, Problem 3P

(a)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

(b)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

(c)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

(d)

To determine

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

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>tt 1:32 > trend.1m 1m (sales > summary(trend.1m) - tt) #3###23 (i) #### Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2107.220 57.997 36.332e-16 *** tt -43.500 3.067 -14.18 7.72e-15 *** > trend = ts (fitted (trend.1m), start-start (sales), freq-frequency (sales)) sales trend ###23%23 (ii) #### as.numeric((1:32 %% 4) > X > q1 > q2 > q3 > 94 = = = = - as.numeric((1:32 %% 4) as.numeric((1:32 %% 4) as.numeric((1:32 %% 4) == 1) 2) == == 3) == 0) > season.lm = 1m (resid (trend.1m) 0+q1 + q2 + q3 + q4) #3##23%23 (iii) #### > summary(season.1m) Coefficients: Estimate Std. Error t value Pr(>|t|) q1 -38.41 43.27 -0.888 0.38232 92 18.80 43.27 0.435 0.66719 q3 -134.78 43.27 -3.115 0.00422 ** 94 154.38 43.27 3.568 0.00132 ** > season = ts (fitted (season.lm), start=start (sales), freq=frequency (sales)) > Y X season %23%23%23%23 (iv) #### >ar (Y, aic=FALSE, order.max=1) #23%23%23%23 (v) #### Coefficients: 1 0.5704 Order selected 1 sigma 2 estimated as 9431 > ar(Y, aic=FALSE,…

Please sketch questions 1, 2 and 6

QUESTION 18 - 1 POINT Jessie is playing a dice game and bets $9 on her first roll. If a 10, 7, or 4 is rolled, she wins $9. This happens with a probability of . If an 8 or 2 is rolled, she loses her $9. This has a probability of J. If any other number is rolled, she does not win or lose, and the game continues. Find the expected value for Jessie on her first roll. Round to the nearest cent if necessary. Do not round until the final calculation. Provide your answer below:

Answer 2

Question

Chapter 2.7, Problem 3P

(a)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

(b)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

(c)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

(d)

To determine

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

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Answer 3

Question

Chapter 2.7, Problem 3P

(a)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

(b)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

(c)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

(d)

To determine

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

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Answer 4

Question

Chapter 2.7, Problem 3P

(a)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

(b)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

(c)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

(d)

To determine

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

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Answer 5

Chapter 2.7, Problem 3P

(a)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

(b)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

(c)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

(d)

To determine

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

Answer 6

Chapter 2.7, Problem 3P

(a)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

Answer 7

Chapter 2.7, Problem 3P

(a)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

Answer 8

(b)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

Answer 9

(b)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

Answer 10

(c)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

Answer 11

(c)

To determine

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

Answer 12

(d)

To determine

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

Answer 13

(d)

To determine

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 2.1 - Prob. 1P Ch. 2.1 - Prob. 2P Ch. 2.1 - Prob. 3P Ch. 2.1 - Prob. 4P Ch. 2.1 - Prob. 5P Ch. 2.1 - Prob. 6P Ch. 2.1 - Prob. 7P Ch. 2.1 - Prob. 8P Ch. 2.1 - Prob. 9P Ch. 2.1 - Prob. 10P

The approximate values of the solution of initial value problem y ′ = 0.5 − t + 2 y , y ( 0 ) = 1 using Euler method with h = 0.1 at t = 0.1 , 0 .2, 0 .3, and 0 .4 .

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.1 at t=0.1, 0.2, 0.3, and 0.4.

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.05 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a).

The approximate values of the solution of initial value problem y′=0.5−t+2y, y(0)=1 using Euler method with h=0.025 at t=0.1, 0.2, 0.3, and 0.4 and compare the results with those obtained in part (a) and part (b).

The solution y=ϕ(t) and values of ϕ(t) at t=0.1, 0.2, 0.3, and 0.4. Also compare the results with those obtained in part (a), (b), and (c).

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