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Pre-Calc Homework Solutions 279

Pre-Calc Homework Solutions 279 - Section 6.6 24 To find...

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24. To find the approximate values, set y 1 5 x 1 y and use IMPEULT with initial values x 5 0 and y 5 1 and step size 2 0.1 for 10 points. The exact values are given by y 5 2 e x 2 x 2 1. 25. Set y 1 5 y 1 e x 2 2 and EULERG, with initial values x 5 0 and y 5 2 and step sizes 0.1 and 0.05. (a) [0, 4.7] by [0, 100] (b) [0, 4.7] by [0, 100] 26. Set y 1 5 cos (2 x 2 y ) and use EULERG with initial values x 5 0 and y 5 2 and step sizes 0.1 and 0.05. (a) [0, 10] by [0, 6] (b) [0, 10] by [0, 6] 27. Set y 1 5 y 1 } 1 2 } 2 ln ) y ) 2 and use IMPEULG with initial values x 5 0 and y 5 } 1 3 } and step size 0.1 and 0.05. (a) [0, 10] by [0, 3] (b) [0, 10] by [0, 3] 28. Set y 5 sin (2 x 2 y ) and use IMPEULG with initial values x 5 0 and y 5 1 and step sizes 0.1 and 0.05. (a) [0, 10] by [0, 5] (b) [0, 10] by [0, 5] 29. To find the approximate values, let y 1 5 y and use EULERT with initial values x 5 0 and y 5 1 and step size 0.05 for 20 points. This gives y (1) < 2.6533. Since the exact solution to the initial value problem is y 5 e x , the exact value of y (1) is e . 30. To find the approximate values, let y 1 5 3 y and use IMPEULT with initial values x 5 0 and y 5 1 and step size 0.05 for 20 points. This gives y (1)
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