The order of the differential equation (d^4y)/(dx^4)- ((d²y)/(dx²) )=5 is : (A) 4 (B) 3 (C) 2 (D) not defined

MathsCBSE Class 12 · Board exam 2024, set 65/5/1 · 1 mark · MCQ

CBSE Class 12 Mathematics 2024: question 14

Set in the CBSE Class 12 board exam of 2024, paper 65/5/1, section A, question 14, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q14 · 1 mark · MCQDifferential Equations

The order of the differential equation $\frac{d ^{4} y}{d x ^{4}} - sin (\frac{d ^{2} y}{d x ^{2}}) = 5$ is :

(A)4
(B)3
(C)2
(D)not defined

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 65/5/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Order and degree are different ideas.

Hint 2

Which derivative of $y$ is the highest one present?

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

The order is the order of the highest derivative present in the equation, which is $\frac{d ^{4} y}{d x ^{4}}$ .
½ mark
So the order is 4, option (A). (Only the degree is not defined here.)
½ mark

Answer: 4, option (A)

Where the marks are

Identifies the highest order derivative (1 mark)

Revise the chapter

Chapter: Differential Equations (notes, formulas, where marks are lost and every past question)

Practise this chapterBoard-style questions from Differential Equations, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 65/5/1: every question, by section.

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CBSE Class 12 Mathematics 2024: question 14

Hints

Step-by-step solution

Revise the chapter

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