Given the differential equation: 2xy x²+1 - 2xdx [2ln(x² + 1)]dy = 0, y(0) = e², h = 0.1 Find approximately y(0.4). Find also the actual value using any applicable method of solving ODE
Given the differential equation: 2xy x²+1 - 2xdx [2ln(x² + 1)]dy = 0, y(0) = e², h = 0.1 Find approximately y(0.4). Find also the actual value using any applicable method of solving ODE
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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Solve using Euler’s Method. Approximate up to 5 decimal places.
![1. Given the differential equation:
2xy dx
2xdx – [2 – In(x² + 1)]dy = 0, y(0) = e?, h = 0.1
x2+1
Find approximately y(0.4). Find also the actual value using any applicable method of solving ODE's.
f(x,y) =
Xn
Yn
f(xn, Yn)
Уп+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87259ceb-f841-4a29-b58f-ddfa0ce1458a%2F1bad8921-ca41-4bfa-a594-cc9fdf82ea62%2Fpuplmg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Given the differential equation:
2xy dx
2xdx – [2 – In(x² + 1)]dy = 0, y(0) = e?, h = 0.1
x2+1
Find approximately y(0.4). Find also the actual value using any applicable method of solving ODE's.
f(x,y) =
Xn
Yn
f(xn, Yn)
Уп+1
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