What is the order of (dy/dx)^4 - 3xd^2y/dx^2 = 0?

Differential Equations · Question 8 of 67

Question 8

MediumOriginal question

What is the order of $\left(\frac{dy}{dx}\right)^4 - 3x\frac{d^2y}{dx^2} = 0$ ?

2

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3

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4

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5

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Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

A power on a derivative changes the degree, never the order: $\left(\frac{dy}{dx}\right)^4$ is still a first derivative.

Ten questions from Differential Equations, at your own pace.

Ten questions from Differential Equations, at your own pace.