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Problem 5.1: (a) Fill the following forward difference table? Xi 0 5 10 15 20 25 Yi 0 0.0875 0.1763 0.2679 0.3640 0.4663 (b) Find the root of the following equation using Newton's meth x³ 3x + 1 = 0 - Q5- (a) Find by Rung-Kutta method an approximation value of y for x=0.8, given that y=0.41 when x=0.4 for the following equation using h=0.4 dy dx = x + y

Problem 5.1: (a) Fill the following forward difference table? Xi 0 5 10 15 20 25 Yi 0 0.0875 0.1763 0.2679 0.3640 0.4663 (b) Find the root of the following equation using Newton's meth x³ 3x + 1 = 0 - Q5- (a) Find by Rung-Kutta method an approximation value of y for x=0.8, given that y=0.41 when x=0.4 for the following equation using h=0.4 dy dx = x + y

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 5.1: (a) Fill the following forward difference table? Xi 0 5 10 15 20 25 Yi 0 0.0875 0.1763 0.2679 0.3640 0.4663 (b) Find the root of the following equation using Newton's meth x³ 3x + 1 = 0 Q5- (a) Find by Rung-Kutta method an approximation value of y for x=0.8, given that y=0.41 when x=0.4 for the following equation using h=0.4 dy dx = (x + y
Transcribed Image Text:Problem 5.1: (a) Fill the following forward difference table? Xi 0 5 10 15 20 25 Yi 0 0.0875 0.1763 0.2679 0.3640 0.4663 (b) Find the root of the following equation using Newton's meth x³ 3x + 1 = 0 Q5- (a) Find by Rung-Kutta method an approximation value of y for x=0.8, given that y=0.41 when x=0.4 for the following equation using h=0.4 dy dx = (x + y
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