(a) Given the differential equation and initial condition: dy 2y given that y(2) =1: dx Use the integration factor method to show that the exact solution is ソ= 4. Hence calculate the value of when x=2.4. Use the fourth-order Runge-Kutta method with a step size h=0.2 to find numerical solution for x=2.2 and x = 2.4. (ii) 3 3.
(a) Given the differential equation and initial condition: dy 2y given that y(2) =1: dx Use the integration factor method to show that the exact solution is ソ= 4. Hence calculate the value of when x=2.4. Use the fourth-order Runge-Kutta method with a step size h=0.2 to find numerical solution for x=2.2 and x = 2.4. (ii) 3 3.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![(a)
Given the differential equation and initial condition:
3.
dy
2y
given that y(2) =
31:
dx
(i)
Use the integration factor method to show that the exact solution is
ソ=
4.
Hence calculate the value of
when x= 2.4.
Use the fourth-order Runge-Kutta method with a step size h=0.2 to
find numerical solution for x=2.2 and x= 2.4.
(ii)
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c212db8-506f-4177-96b9-e640c7e9fa65%2F8fe7e34e-dddd-494e-bdee-10f9b89283e0%2Flqbryoa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a)
Given the differential equation and initial condition:
3.
dy
2y
given that y(2) =
31:
dx
(i)
Use the integration factor method to show that the exact solution is
ソ=
4.
Hence calculate the value of
when x= 2.4.
Use the fourth-order Runge-Kutta method with a step size h=0.2 to
find numerical solution for x=2.2 and x= 2.4.
(ii)
3
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