Answer
True
Work Step by Step
Let us consider that $f(x,y)=\dfrac{x^4y^{-2}}{x^2+y^2}$
Since, $f(tx,ty) = f(x,y)$
We can see that the equation is a first order homogeneous differential equation . So, our statement is True.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 1 - First-Order Differential Equations - 1.8 Change of Variables - True-False Review - Page 78: d
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