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1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
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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
$y \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0$
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 order of the differential equation ?
A
1
B
2
C
3
D
4
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 degree of the differential equation ? 
A
2
B
3
C
4
D
Degree does not exist 
4
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
$y=\frac{\left(x^2-2\right)}{2}$
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