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(x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. A.) Approximate the value of y at x = 1.5 using Euler's Method with step size h = 0.5

(x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. A.) Approximate the value of y at x = 1.5 using Euler's Method with step size h = 0.5

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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Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. A.) Approximate the value of y at x = 1.5 using Euler's Method with step size h = 0.5 2.0839 2.0959 2.1082 2.1738 B.) What is the Absolute Error for y at x = 1.5 if the Euler's Method is applied with step size h=0.5 o 0.681 0.0123 0.0656 0.0243
Transcribed Image Text:Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. A.) Approximate the value of y at x = 1.5 using Euler's Method with step size h = 0.5 2.0839 2.0959 2.1082 2.1738 B.) What is the Absolute Error for y at x = 1.5 if the Euler's Method is applied with step size h=0.5 o 0.681 0.0123 0.0656 0.0243
C.) What is the Relative Absolute Error for y at x = 1.5 if the Euler's Method is applied with step size h=0.5 1.15% 0.58% 3.11% 3.23%|
Transcribed Image Text:C.) What is the Relative Absolute Error for y at x = 1.5 if the Euler's Method is applied with step size h=0.5 1.15% 0.58% 3.11% 3.23%|
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