Solve the differential equation: x(1+ y²)'/²dx = y(1+ x²)/?dy
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:(a) Solve the differential equation:
x(1+ y?)/2dx = y(1+x²)/2dy
(b) Plot multiple solutions of the differential equation in b with values of
constant c=-2,-1,0,1,2
(c) Plot the numerical solution(both x and y) of the differential equation for
0 <t< 5:
x'(t) = (y(t))? + x(t)y(t) , 2(x(t))? + (y(t))² = 1 , x(0) = 0
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