1
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Which one of the following differential equations has the general solution y = aex + be-x?

A
$\rm \frac{d^2y}{dx^2}+y=0$
B
$\rm \frac{d^2y}{dx^2}-y=0$
C
$\rm \frac{d^2y}{dx^2}+y=1$
D
$\rm \frac{dy}{dx}-y=0$
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the solution of the following differential equation?

$\rm \ln\left(\frac{dy}{dx}\right)+y = x$

A
ex + ey = c
B
ex + y = c
C
ex - ey = c
D
ex - y = c
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\rm \int e^{\left(2\ln x+\ln x^2\right)}dx$ equal to?
A
$\rm \frac{x^4}{4}+c$
B
$\rm \frac{x^3}{3}+c$
C
$\rm \frac{2x^5}{5}+c$
D
$\rm \frac{x^5}{5}+c$
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following measures of central tendency for a set of N numbers:

1. Arithmetic mean.

2. Geometric mean.

Which of the above uses/use all the data?

A
1 only.
B
2 only.
C
Both 1 and 2.
D
Neither 1 nor 2.
EXAM MAP