1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What are the order and the degree respectively of the differential equation $\rm x^2\left(\frac{d^3 y}{d x^3}\right)^2+\left(\frac{d y}{d x}\right)^4+\sin x=0$
A
3, 4
B
1, 4
C
2, 2
D
3, 2
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the differential equation of all parabolas of the type y2 = 4a (x - b)?
A
$ \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $
B
$ \frac{d^2 y}{d x^2}+x^2\left(\frac{d y}{d x}\right)^2=0$
C
$y^2 \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $
D
$y \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0$
3
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
4
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 
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