Find the general solution of the following differential equation 2x²y'(x-1)(y² - x²) = 2xy, y = y(x) if we know that it has as a partial solution the function y₁=y₁(x)=x.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 29CR
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Exercise 7
Find the general solution of the following differential equation
2x²y'(x-1)(y² - x²) = 2xy, y = y(x)
if we know that it has as a partial solution the function yı-yi(x)=x.
Transcribed Image Text:Exercise 7 Find the general solution of the following differential equation 2x²y'(x-1)(y² - x²) = 2xy, y = y(x) if we know that it has as a partial solution the function yı-yi(x)=x.
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