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Given the ODE shown below: 3 dy dx Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's Method -35.318 -36.458 -658.91 -669.05 +5y² = sin (x), y(0.3) = 5 Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2 Method -4936.7 -4297.4 -0.21336x10^14 -0.24489x10^14

Given the ODE shown below: 3 dy dx Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's Method -35.318 -36.458 -658.91 -669.05 +5y² = sin (x), y(0.3) = 5 Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2 Method -4936.7 -4297.4 -0.21336x10^14 -0.24489x10^14

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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Given the ODE shown below: 3 dy dx Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's Method -35.318 -36.458 -658.91 -669.05 +5y² = sin (x), y(0.3) = 5 Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2 Method -4936.7 -4297.4 -0.21336x10^14 -0.24489x10^14
Transcribed Image Text:Given the ODE shown below: 3 dy dx Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's Method -35.318 -36.458 -658.91 -669.05 +5y² = sin (x), y(0.3) = 5 Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2 Method -4936.7 -4297.4 -0.21336x10^14 -0.24489x10^14
Using a step size of h = 0.3, find the approximate value of y(0.9) using RK4 Method O -0.25011x10^40 O -1261.5 O-4297.4 0.88498
Transcribed Image Text:Using a step size of h = 0.3, find the approximate value of y(0.9) using RK4 Method O -0.25011x10^40 O -1261.5 O-4297.4 0.88498
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