3. Given the differential equation: Find approximately y(0.4). f(x, y) = n 0 1 2 3 4 Xn Yn 2xy dx x²+1 k₁ 2xdx [2ln(x² + 1)]dy = 0, y(0) = e², h = 0.1 - k₂ k3 K4 Yn+1
3. Given the differential equation: Find approximately y(0.4). f(x, y) = n 0 1 2 3 4 Xn Yn 2xy dx x²+1 k₁ 2xdx [2ln(x² + 1)]dy = 0, y(0) = e², h = 0.1 - k₂ k3 K4 Yn+1
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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Question
Solve using Runge-Kutta Method. Approximate up to 5 decimal places.
![2хy dx
3. Given the differential equation:
2xdx – [2 – In(x² + 1)]dy = 0, y(0) = e², h = 0.1
x2+1
Find approximately y(0.4).
f(x, y) =
Xn
Уп
k1
k2
k3
k4
Уп+1
1
2
3
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87259ceb-f841-4a29-b58f-ddfa0ce1458a%2F460a4da1-2ad3-48ed-a837-342aef211106%2Fgici62f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2хy dx
3. Given the differential equation:
2xdx – [2 – In(x² + 1)]dy = 0, y(0) = e², h = 0.1
x2+1
Find approximately y(0.4).
f(x, y) =
Xn
Уп
k1
k2
k3
k4
Уп+1
1
2
3
4
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