Solve the following using Runge-Kutta Method. Completely fill out the accompanying table. Show all solutions/computations. Approximate up to 5 decimal places. pertinent 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 − [2 — ln(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
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Solve the following using Runge-Kutta Method. Completely fill out the accompanying table. Show all
pertinent solutions/computations. 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) =
Уп
k1
k2
k3
k4
Уп+1
1
2
3
4
Transcribed Image Text:Solve the following using Runge-Kutta Method. Completely fill out the accompanying table. Show all pertinent solutions/computations. 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) = Уп k1 k2 k3 k4 Уп+1 1 2 3 4
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