1
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $${{{d^2}y} \over {d{x^2}}} = 0$$ represents

A
all circles in a plane
B
all straight lines in a plane
C
all parabolas in a plane
D
all ellipses in a plane
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $$\frac{d y}{d x}+\sqrt{\frac{1-y^2}{1-x^2}}=0$$ is

A
$$\cos ^{-1} x+\cos ^{-1} y=c$$
B
$$\sin ^{-1} x+\sin ^{-1} y=c$$
C
$$\cosh ^{-1} x+\cosh ^{-1} y=c$$
D
$$\sinh ^{-1} x+\sinh ^{-1} y=c$$
3
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $$x \frac{d y}{d x}=\cot y$$ is

A
$$y \cos x=c$$
B
$$x \cos y=c$$
C
$$\log (x \cos y)=c$$
D
$$\log (y \cos x)=c$$
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $${\sec ^2}x\tan ydx + {\sec ^2}y\tan xdy = 0$$ is

A
$$\tan y\,.\,\tan x = C$$
B
$${{\tan y} \over {\tan x}} = C$$
C
$${{{{\tan }^2}x} \over {\tan y}} = C$$
D
None of these
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