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Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. 1. Approximate the value of y at x = 1.5 using the Second Order Runge Kutta Method with step size h = 0.5 o 2.1738 o 2.1082 2.1084 o 2.1763 2. What is the Absolute Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 o 0.0681 0.0656 0.0243 0.0123

Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. 1. Approximate the value of y at x = 1.5 using the Second Order Runge Kutta Method with step size h = 0.5 o 2.1738 o 2.1082 2.1084 o 2.1763 2. What is the Absolute Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 o 0.0681 0.0656 0.0243 0.0123

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. 1. Approximate the value of y at x = 1.5 using the Second Order Runge Kutta Method with step size h = 0.5 o 2.1738 2.1082 2.1084 2.1763 2. What is the Absolute Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 0.0681 0.0656 0.0243 0.0123
Transcribed Image Text:Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. 1. Approximate the value of y at x = 1.5 using the Second Order Runge Kutta Method with step size h = 0.5 o 2.1738 2.1082 2.1084 2.1763 2. What is the Absolute Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 0.0681 0.0656 0.0243 0.0123
3. What is the Relative Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 3.23% 0.58% 1.15% 3.11%
Transcribed Image Text:3. What is the Relative Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 3.23% 0.58% 1.15% 3.11%
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