The approximate values of the solution of the given initial value problem at t = 0.1 , 0.2 , 0.3 and 0 .4 by use of Euler method with h = 0.05 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 8.1, Problem 3P

(a)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

(b)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

(c)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

(d)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Q3*) Consider the integral I Yn, Y₁, Y2, . . ., Y'n) dã, [F(x, Y 1, Y2, · · Yng) = - where y1, 2, ...y are dependent variables, dependent on x. If F is not explicitly dependent on x, deduce the equivalent of the Beltrami identity. Optional: Give an example of a function F(y1, Y2, Y₁, y2), and write down the Euler-Lagrange equations and Beltrami Identity for your example. Does having this Beltrami Identity help solve the problem?

Solve the following problem over the interval from x=0 to 1 using a step size of 0.25 where y(0)= 1. dy = dt (1+4t)√√y (a) Euler's method. (b) Heun's method

No chatgpt pls will upvote

Answer 2

Question

Chapter 8.1, Problem 3P

(a)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

(b)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

(c)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

(d)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 8.1, Problem 3P

(a)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

(b)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

(c)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

(d)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 8.1, Problem 3P

(a)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

(b)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

(c)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

(d)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 8.1, Problem 3P

(a)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

(b)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

(c)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

(d)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Answer 6

Chapter 8.1, Problem 3P

(a)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

Answer 7

Chapter 8.1, Problem 3P

(a)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

Answer 8

(b)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

Answer 9

(b)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

Answer 10

(c)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

Answer 11

(c)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

Answer 12

(d)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Answer 13

(d)

To determine

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 17

Ch. 8.1 - Prob. 1P Ch. 8.1 - In each of Problems 1 through 6, find approximate...Ch. 8.1 - In each of Problems 1 through 6, find approximate...Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

The approximate values of the solution of the given initial value problem at t = 0.1 , 0.2 , 0.3 and 0 .4 by use of Euler method with h = 0.05 .

Concept explainers

Videos

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.05.

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of Euler method with h=0.025.

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.05.

The approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3 and 0.4 by use of backward Euler method with h=0.025.

Want to see the full answer?

Chapter 8 Solutions