attached the picture below if you do not understand me. Thank you! The answer is very simple and contains two variables x and y. You can not use a computer or calculator. I got to the answer with log but it is not the most simplified version. I can not use that (attached picture). It is also not an exact homogeneous differential equation.

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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(Homogeneous Equation)

(2x^2 −xy)dx−(y^2 +xy)dy = 0

I attached the picture below if you do not understand me. Thank you!

The answer is very simple and contains two variables x and y. You can not use a computer or calculator.

I got to the answer with log but it is not the most simplified version. I can not use that (attached picture). It is also not an exact homogeneous differential equation.

The method and techniques are already developed in the 16th century.

(2.x² – xy)dx – (y² + xy)dy = 0
-
Transcribed Image Text:(2.x² – xy)dx – (y² + xy)dy = 0 -
Answer:
y(x)
u? + u
S.
du = log(x) + Cı
-u3 – u? – u + 2
Transcribed Image Text:Answer: y(x) u? + u S. du = log(x) + Cı -u3 – u? – u + 2
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