What is the degree of the homogeneous function (x^3 + y^3)/(x - y)?

Homogeneous & Linear Differential Equations · Question 17 of 120

Question 17

MediumOriginal question

What is the degree of the homogeneous function $\frac{x^{3} + y^{3}}{x - y}$ ?

1

Correct answerYour answer

2

Correct answerYour answer

3

Correct answerYour answer

4

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Put $\lambda x, \lambda y$ in place of $x, y$ and factor out the power of $\lambda$ .
$\lambda^{2}$ comes out, so the degree is 2.

Worth noting

3 reads only the top; the bottom's degree 1 is taken away, $3 - 1 = 2$ .

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

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