1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ?
A
1
B
2
C
3
D
4
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ? 
A
2
B
3
C
4
D
Degree does not exist 
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

A solution of the differential equation

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

A
y = 2x
B
y = 2x + 4
C
y = x2 - 1
D
$y=\frac{\left(x^2-2\right)}{2}$
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements:

1. The degree of the differential equation $\frac{\text{dy}}{\text{dx}} + \cos \left(\frac{\text{dy}}{\text{dx}}\right)$ = 0 is 1.

2. The order of the differential equation $\left(\frac{\text{d}^2\text{y}}{\text{dx}^2}\right)^3 + \cos \left(\frac{\text{dy}}{\text{dx}}\right) $ = 0 is 2.

Which of the statements above is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
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