What is the degree of d^2y/dx^2 = (1 + (dy/dx)^2)^2?

Differential Equations · Question 4 of 67

Question 4

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What is the degree of $\frac{d^2y}{dx^2} = \left(1 + \left(\frac{dy}{dx}\right)^2\right)^2$ ?

4Correct answerYour answer2Correct answerYour answer1Correct answerYour answerNot definedCorrect answerYour answer

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CorrectNot quiteAnswer C

Correct answer: C

The highest derivative is $\frac{d^2y}{dx^2}$ , and it appears to the power 1.
Expanding the bracket gives $\left(\frac{dy}{dx}\right)^4$ , but the power on a lower derivative does not count: the degree is 1.

Worth noting

4 is the power of $\frac{dy}{dx}$ , the lower derivative.

Ten questions from Differential Equations, at your own pace.

Ten questions from Differential Equations, at your own pace.