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Differential Equations · Question 3 of 67

Question 3

EasyOriginal question

What is the order of d3ydx3+2d2ydx2−dydx=x\frac{d^3y}{dx^3} + 2\frac{d^2y}{dx^2} - \frac{dy}{dx} = x?

Options for question 3

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The order is the order of the highest derivative in the equation.

  2. The highest derivative here is d3ydx3\frac{d^3y}{dx^3}, so the order is 3.

Worth noting

1 is the degree, the power of the highest derivative; the order counts how many times yy is differentiated.

Concept
Order of a differential equation
Typical time
60 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.