The approximate values of the solution of initial value problem y ′ = f ( t , y ) = ( 4 − t y ) ( 1 + y 2 ) , y ( 0 ) = − 2 using Euler method with h = 0.1 at t = 0.5 , 0 .1, 1 .5, 2, 2 .5, and 3 .

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Answer 1

Question

Chapter 2.7, Problem 13P

(a)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(b)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(c)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(d)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

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Answer 2

Question

Chapter 2.7, Problem 13P

(a)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(b)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(c)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(d)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Expert Solution & Answer

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Answer 3

Question

Chapter 2.7, Problem 13P

(a)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(b)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(c)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(d)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

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Answer 4

Question

Chapter 2.7, Problem 13P

(a)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(b)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(c)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(d)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

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Answer 5

Chapter 2.7, Problem 13P

(a)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(b)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(c)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

(d)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 6

Chapter 2.7, Problem 13P

(a)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 7

Chapter 2.7, Problem 13P

(a)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 8

(b)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 9

(b)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 10

(c)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 11

(c)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 12

(d)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 13

(d)

To determine

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

Answer 14

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Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 2.1 - In each of Problems 1 through 12: Draw a direction...Ch. 2.1 - In each of Problems 1 through 12: Draw a direction...Ch. 2.1 - Prob. 3P Ch. 2.1 - Prob. 4P Ch. 2.1 - Prob. 5P Ch. 2.1 - Prob. 6P Ch. 2.1 - In each of Problems 1 through 12: Draw a direction...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 ′ = f ( t , y ) = ( 4 − t y ) ( 1 + y 2 ) , y ( 0 ) = − 2 using Euler method with h = 0.1 at t = 0.5 , 0 .1, 1 .5, 2, 2 .5, and 3 .

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The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.05 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.025 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

The approximate values of the solution of initial value problem y′=f(t,y)=(4−ty)(1+y2), y(0)=−2 using Euler method with h=0.1 at t=0.5, 0.1, 1.5, 2, 2.5, and 3.

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Chapter 2 Solutions