NDA Mathematics 3 September 2023 | Differential Equations Question 7 | Mathematics

What are the order and the degree respectively of the differential equation $\rm x^2\left(\frac{d^3 y}{d x^3}\right)^2+\left(\frac{d y}{d x}\right)^4+\sin x=0$ ?

3, 4

1, 4

2, 2

3, 2

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

What is the differential equation of all parabolas of the type y2 = 4a (x - b)?

$ \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $

$ \frac{d^2 y}{d x^2}+x^2\left(\frac{d y}{d x}\right)^2=0$

$y^2 \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $

$y \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

Suppose E is the differential equation representing family of curves y² = 2cx + 2c√c where c is a positive parameter.

What is the order of the differential equation ?

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

Suppose E is the differential equation representing family of curves y² = 2cx + 2c√c where c is a positive parameter.

What is the degree of the differential equation ?

Degree does not exist

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