QUIZ-10-Answer - See attached Spreadsheet for...

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QUIZ #10 ENGR 3723 PROBLEM 1 A) (20 points) Integrate 2 ' x y y + = 0 ) 0 ( = y and obtain y(1). Use the Euler method. (h=0.1 ) ANSWER: See attached Spreadsheet B) (40 points) Integrate 2 ' x y y + = 0 ) 0 ( = y and obtain y(1). Use the Huen method. (h=0.1 ) ANSWER: See attached Spreadsheet C) (40 points) Integrate 2 ' x y y + = 0 ) 0 ( = y and obtain y(1). Use the second order RK, Ralston option . (h=0.1 ) Help: a 2 =2/3 ANSWER: Thus, with a 2 =2/3, we obtain: Therefore
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Unformatted text preview: See attached Spreadsheet for implementation 2 1 2 1 1 11 2 1 2 2 1 = = = + q a p a a a ) , ( ) , ( ) ( 1 11 1 2 1 2 2 1 1 1 h k q y h p x f k y x f k h k a k a y y i i i i i i + + = = + + = + 4 3 ; 4 3 ; 3 / 1 11 1 1 = = = q p a ) 4 3 , 4 3 ( ; ) , ( ; 3 2 3 1 1 2 1 2 1 1 h k y h x f k y x f k h k k y y i i i i i i + + = = + + = +...
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