What is the degree of the homogeneous function (x^2 - y^2)/(x y)?

Homogeneous & Linear Differential Equations · Question 13 of 120

Question 13

MediumOriginal question

What is the degree of the homogeneous function $\frac{x^{2} - y^{2}}{x y}$ ?

-2

Correct answerYour answer

0

Correct answerYour answer

2

Correct answerYour answer

4

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Replace $x, y$ by $\lambda x, \lambda y$ and see which power of $\lambda$ comes out.
It comes out as $\lambda^{0}$ , so the degree is 0.

Worth noting

2 reads only the top; the bottom has degree 2 as well, so they cancel.

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.