Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Differential Equations
Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…
Question

(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 -
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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
expand button
Transcribed Image Text:Answer: y(x) u? + u S. du = log(x) + Cı -u3 – u? – u + 2
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