Explanation Given: The system is, x ′ 1 = − ( 0.1 ) x 1 x 2 ; x 1 ( 0 ) = 10 x ′ 2 = − x 1 ; x 2 ( 0 ) = 15 Here, x 1 and x 2 are the strengths of guerrilla and conventional troops, respectively. Approach: The classical fourth-order Runge-Kutta method is x 1 ; n + 1 = x 1 ; n + 1 6 ( k 1 + 2 k 2 + 2 k 3 + k 4 ) ... ( 1 ) x 2 ; n + 1 = x 2 ; n + 1 6 ( l 1 + 2 l 2 + 2 l 3 + l 4 ) ... ( 2 ) Here, k 1 = h f ( t n , x 1 ; n , x 2 ; n ) l 1 = h g ( t n , x 1 ; n , x 2 ; n ) k 2 = h f ( t n + h 2 , x 1 ; n + k 1 2 , x 2 ; n + l 1 2 ) l 2 = h g ( t n + h 2 , x 1 ; n + k 1 2 , x 2 ; n + l 1 2 ) k 3 = h f ( t n + h 2 , x 1 ; n + k 2 2 , x 2 ; n + l 2 2 ) l 3 = h g ( t n + h 2 , x 1 ; n + k 2 2 , x 2 ; n + l 2 2 ) k 4 = h f ( t n + 1 , x 1 ; n + k 3 , x 2 ; n + l 3 ) l 4 = h g ( t n + 1 , x 1 ; n + k 3 , x 2 ; n + l 3 ) Calculation: Consider, h = 0.1 f ( t n , x 1 ; n , x 2 ; n ) = x ′ 1 = − ( 0.1 ) x 1 x 2 g ( t n , x 1 ; n , x 2 ; n ) = x ′ 2 = − x 1 The system of differential equation is not explicitly depended on t , as there is no term of t in the equation

Pearson eText Fundamentals of Differential Equations with Boundary Value Problems -- Instant Access (Pearson+)

7th Edition

ISBN: 9780137394524

Author: R. Nagle, Edward Saff

Publisher: PEARSON+

See similar textbooks

Videos

Question

Chapter 5.3, Problem 18E

To determine

The winner of the conflict among the conventional troops or the guerrilla combat.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.3, Problem 17E

Chapter 5.3, Problem 19E

Students have asked these similar questions

R₂ = X2 2) slots per pole per phase = 3/31 B-180 60 msl kd Kas Sin () 2 I sin (6) sin(30) Sin (30) اذا مريد شرح الكتب بس 0 بالفراغ 3 Cos (30) 0.866 4) Rotating ined sove in peaper 5) Synchronous speed s 120×50 6 s = 1000-950 1000 Copper losses 5kw Rotor input 5 0.05 6) 1 loo kw اذا ميريد شرح الكتب فقط Look 7) rotov DC I need a detailed solution on paper please 0 64 Solve the following equations: 0 Q1// Find the solution of: ( y • with y(0) = 1. dx x²+y²

R₂ = X2 2) slots per pole per phase = 3/3 1 B-180-60 msl Ka Sin (1) Isin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 s = 1000-950 1000 Copper losses 5kw Rotor input 5 6) 1 0.05 G 50105 loo kw اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please 064 2- A hot ball (D=15 cm ) is cooled by forced air T.-30°C, the rate of heat transfer from the ball is 460.86 W. Take for the air -0.025 Wim °C and Nu=144.89, find the ball surface temperature a) 300 °C 16 b) 327 °C c) 376 °C d) None か = 750 01

Answer questions 8.3.3 and 8.3.4 respectively 8.3.4 .WP An article in Medicine and Science in Sports and Exercise [“Electrostimulation Training Effects on the Physical Performance of Ice Hockey Players” (2005, Vol. 37, pp. 455–460)] considered the use of electromyostimulation (EMS) as a method to train healthy skeletal muscle. EMS sessions consisted of 30 contractions (4-second duration, 85 Hz) and were carried out three times per week for 3 weeks on 17 ice hockey players. The 10-meter skating performance test showed a standard deviation of 0.09 seconds. Construct a 95% confidence interval of the standard deviation of the skating performance test.

Chapter 5 Solutions

Pearson eText Fundamentals of Differential Equations with Boundary Value Problems -- Instant Access (Pearson+)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The winner of the conflict among the conventional troops or the guerrilla combat.

Solution Summary: The author explains the classical fourth-order Runge-Kutta method of determining the winner of the conflict between the conventional troops or the guerrilla combat.

Videos

The winner of the conflict among the conventional troops or the guerrilla combat.

Want to see the full answer?

Chapter 5 Solutions