1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What does the equation $x \frac{dy}{dx}-2y= 0$ represent ?
A
A family of straight lines
B
A family of circles
C
A family of parabolas
D
A family of ellipses
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the general solution of a differential equation is y2 + 2cy - cx + c2 = 0, where c is an arbitrary constant, then what is the order of the differential equation?
A
1
B
2
C
3
D
4
3
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
4
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
$\rm \frac{dy}{dx}-y=0$
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