What is the product of the order and the degree of (d^3y/dx^3)^2 + (d^2y/dx^2)^3 + dy/dx = 0?

Differential Equations · Question 6 of 67

Question 6

MediumOriginal question

What is the product of the order and the degree of $\left(\frac{d^3y}{dx^3}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^3 + \frac{dy}{dx} = 0$ ?

3

Correct answerYour answer

5

Correct answerYour answer

6

Correct answerYour answer

9

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

The highest derivative is $\frac{d^3y}{dx^3}$ : the order is 3.
Its power is 2, so the degree is 2 (the cube on $\frac{d^2y}{dx^2}$ does not count), and the product is 6.

Worth noting

9 takes the degree as 3, the power on $\frac{d^2y}{dx^2}$ , a lower derivative.

Ten questions from Differential Equations, at your own pace.

Ten questions from Differential Equations, at your own pace.