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Question 1 : Use Runge – Kutta's method of order four to find an approximate value of y for x = 0.2 in step of 0.1 if 2 = x² + y², y(0) = 1. dx

Question 1 : Use Runge – Kutta's method of order four to find an approximate value of y for x = 0.2 in step of 0.1 if 2 = x² + y², y(0) = 1. dx

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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Assignment No: 03 Question 1 : Use Runge – Kutta’s method of order four to find an approximate value of y for x = 0.2 in step of 0.1 if dx = x² + y², y(0) = 1. Question 2 : Calculate y(0.02) and y(0.03) with h = 0.01 of the problem 2y + x, y(0) = 1 by using RK method of order four. Question 3 : Solve = x + y;y(0) = 0,with h = 0.2 using Euler's method. dx Question 4 : Solve 2 = x + y², y(0) = 1 with h = 0.1 and calculate y(0.5) by using Euler's Method. Question 5 : Use Modified Euler's method to tabulate y(0.3) for = xy + 1, y(0) = 1 take h = 0.1
Transcribed Image Text:Assignment No: 03 Question 1 : Use Runge – Kutta’s method of order four to find an approximate value of y for x = 0.2 in step of 0.1 if dx = x² + y², y(0) = 1. Question 2 : Calculate y(0.02) and y(0.03) with h = 0.01 of the problem 2y + x, y(0) = 1 by using RK method of order four. Question 3 : Solve = x + y;y(0) = 0,with h = 0.2 using Euler's method. dx Question 4 : Solve 2 = x + y², y(0) = 1 with h = 0.1 and calculate y(0.5) by using Euler's Method. Question 5 : Use Modified Euler's method to tabulate y(0.3) for = xy + 1, y(0) = 1 take h = 0.1
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