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

What is the degree of the following differential equation?

$\rm x=\sqrt{1+\frac{d^2y}{dx^2}}$

A
1
B
2
C
3
D
Degree is not defined
2
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
$\rm \frac{dy}{dx}-y=0$
3
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
4
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
$\rm \frac{x^5}{5}+c$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12