Solve the following differential equation using Euler's and modified Euler's method. a. dy/dx = 2y? + xy? ; y(0) = 1, find y(1), use h = 0.25
Solve the following differential equation using Euler's and modified Euler's method. a. dy/dx = 2y? + xy? ; y(0) = 1, find y(1), use h = 0.25
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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Transcribed Image Text:Solve the following differential equation using Euler's and modified Euler's method.
a. dy/dx = 2y? + xy² ; y(0) = 1, find y(1), use h = 0.25
b. Inx(dy/dx) + y = cot x, y(2) = 3, find y when x = 3 use h = 0.5
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