NDA Mathematics 21 April 2024 | Differential Equations Question 3 | Mathematics

What are the order and degree respectively of the differential equation $$ \left\{2-\left(\frac{d y}{d x}\right)^2\right\}^{0-6}=\frac{d^2 y}{d x^2} ? $$

2, 2

2, 3

5, 2

2, 5

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

If $\frac{dy}{dx} = 2e^xy^3$, $y(0)= \frac{1}{2}$ then what is $4y^2(2-e^x)$ equal to?

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A parabola passes through (1, 2) and satisfies the differential equation $\frac{d y}{d x}=\frac{2 y}{x}, x>0, y>0 .$

What is the directrix of the parabola ?

$y=-\frac{1}{8}$

$ y=\frac{1}{8} $

$ x=-\frac{1}{8} $

$x=\frac{1}{8}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A parabola passes through (1, 2) and satisfies the differential equation $\frac{d y}{d x}=\frac{2 y}{x}, x>0, y>0 .$

What is the length of latus rectum of the parabola?

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{8}$

PREVIOUS NEXT

NDA Subjects

English

Reading Comprehension Synonyms Antonyms Cloze Rearranging Sentences in a Paragraph Idioms and Phrases Word Classes Sentence Completion Improvement of Sentence

General Science

Physics Chemistry Biology

General Studies

Polity Geography History Economy General Knowledge