1. Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem y - 4y' + 4y = 0, y(0) = -2, y'(0) = 1. Use h = 0.1. Find the exact solution of the problem, and otual of v0 2) comp

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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82ll
۱:۳۲ ص ۰۲اك.بث 0 ۵
2_538191656963696...
Sheet 7
Numerical analysis
المطلوب السؤال الثالث و اثنان
من المجموعة الأولى من 1 الي4
6.4 Exercises Answers to selected odd
موعد التسليم لغاية يوم الخميس
lolun 8:00
1. Use Euler's method to approximate y(0.2), where y(x) is the
solution of the initial-value problem
y - 4y' + 4y = 0, y(0) = -2, y'(0) = 1.
Use h = 0.1. Find the exact solution of the problem, and
compare the actual value of y(0.2) with y,.
2. Use Euler's method to approximate y(1.2), where y(x) is the
solution of the initial-value problem
ry" - 2ry' + 2y = 0, y(1) = 4, y'(1) = 9,
where x>0. Use h = 0.1. Find the analytic solution of the
problem, and compare the actual value of y(1.2) with y,
In Problems 3 and 4, repeat the indicated problem using the
RK4 method. First use h = 0.2 and then use h = 0.1.
3. Problem 1
4. Problem 2
Dennis G. Zill Chapter 6
الكتاب والحلول موجود عندكم
Q3/Solve the following system using Newton's method ,start with x=y=1
4x - y'+ 28 = 0
3x + 4y - 145-0
Transcribed Image Text:82ll ۱:۳۲ ص ۰۲اك.بث 0 ۵ 2_538191656963696... Sheet 7 Numerical analysis المطلوب السؤال الثالث و اثنان من المجموعة الأولى من 1 الي4 6.4 Exercises Answers to selected odd موعد التسليم لغاية يوم الخميس lolun 8:00 1. Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem y - 4y' + 4y = 0, y(0) = -2, y'(0) = 1. Use h = 0.1. Find the exact solution of the problem, and compare the actual value of y(0.2) with y,. 2. Use Euler's method to approximate y(1.2), where y(x) is the solution of the initial-value problem ry" - 2ry' + 2y = 0, y(1) = 4, y'(1) = 9, where x>0. Use h = 0.1. Find the analytic solution of the problem, and compare the actual value of y(1.2) with y, In Problems 3 and 4, repeat the indicated problem using the RK4 method. First use h = 0.2 and then use h = 0.1. 3. Problem 1 4. Problem 2 Dennis G. Zill Chapter 6 الكتاب والحلول موجود عندكم Q3/Solve the following system using Newton's method ,start with x=y=1 4x - y'+ 28 = 0 3x + 4y - 145-0
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