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Determine the general solution of the following FOODE. [1] (x²+1)dy-2xydx=x(x²+1)y*dx (BE)

Determine the general solution of the following FOODE. [1] (x²+1)dy-2xydx=x(x²+1)y*dx (BE)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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FT DE 3-1 Determine the general solution of the following FOODE. [1] (x²+1)dy-2xydx=x(x²+1)y*dx (BE) [2] x?ydx-x'dy+y dy=0 (SOLUTION BY INSPECTION) [3] xdy+ydx+(xy)²(x-1)²dx=0 (SOLUTION BY INSPECTION) [4] xdy+(x+1)ydx=2xe* (LDE) [5] (4x+y-3)dx-(x+4y+3)dy=0 (COEFFICIENTS LINEAR IN TWO VÄRIABLES)
Transcribed Image Text:FT DE 3-1 Determine the general solution of the following FOODE. [1] (x²+1)dy-2xydx=x(x²+1)y*dx (BE) [2] x?ydx-x'dy+y dy=0 (SOLUTION BY INSPECTION) [3] xdy+ydx+(xy)²(x-1)²dx=0 (SOLUTION BY INSPECTION) [4] xdy+(x+1)ydx=2xe* (LDE) [5] (4x+y-3)dx-(x+4y+3)dy=0 (COEFFICIENTS LINEAR IN TWO VÄRIABLES)
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