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Differential Equations · Question 11 of 67

Question 11

MediumOriginal question

What is the sum of the order and the degree of (d3ydx3)2+d2ydx2+(dydx)5=0\left(\frac{d^3y}{dx^3}\right)^2 + \frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^5 = 0?

Options for question 11

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The highest derivative is d3ydx3\frac{d^3y}{dx^3}: order 3.

  2. It appears squared, so the degree is 2, and 3+2=53 + 2 = 5.

Worth noting

8 takes the degree from (dydx)5\left(\frac{dy}{dx}\right)^5, the highest power in sight, not the power of the highest derivative.

Concept
Order and degree together
Typical time
90 s
Your time
—
The rule this testsOrder and degree
Practise this chapter →

Ten questions from Differential Equations, at your own pace.

Practise this chapter →

Ten questions from Differential Equations, at your own pace.