1
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
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the differential equation of the family of parabolas having a vertex at origin and axis along positive y-axis?
A
x$\frac{\text{dy}}{\text{dx}}$ + 2y = 0
B
x$\frac{\text{dy}}{\text{dx}}$ − 2y = 0
C
y$\frac{\text{dx}}{\text{dy}}$ + 2x = 0
D
y$\frac{\text{dx}}{\text{dy}}$ − 2x = 0
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the solution of the differential equation (dy − dx) + cos x(dy + dx) = 0 ?
A
y = tan$\left(\frac{x}{2}\right)$ − x + c
B
y = $\frac{1}{2}\tan\left(\frac{x}{2}\right)$ − x + c
C
y = 2tan$\left(\frac{x}{2}\right)$ − x + c
D
y = tan$\left(\frac{x}{2}\right)$ − 2x + c
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the degree of the differential equation? $1+\left(\frac{dy}{dx}\right)^2 =\left(\frac{d^2y}{dx^2}\right)^{\frac{4}{3}}?$
A
$\frac{4}{3}$
B
2
C
3
D
4
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