1
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The order and degree of the differential equation $\left(\frac{d y}{d x}\right)^2+\frac{d x}{d y}=x$ is:

A

$(1,1)$

B

$(1,2)$

C

$(2,1)$

D

$(1,3)$

2
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

In a bank the principal increases continuously at the rate of $4 \%$ per annum. In how many years will ₹ 1000 triple itself?

A

$$ \frac{1}{25} \log _e 3 $$

B

$$ 25 \log _e 3 $$

C

$$ \frac{25}{\log _e 3} $$

D

$$ \log _e 75 $$

3
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The particular solution of the equation } \sin \left(\frac{d y}{d x}\right)=a \text {, where } a \in \mathbb{R} \text { and } y=2 \text { when } x=0 \text { is } $$

A

$$ \sin \left(\frac{y-2}{x}\right)=a $$

B

$$ \sin \left(\frac{x-2}{y}\right)=a $$

C

$$ \sin \left(\frac{y+2}{x}\right)=a $$

D

$$ \sin \left(\frac{x}{y-2}\right)=a $$

4
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
The solution of the differential equation: $x \cos y d y=\left(x e^x \log x+e^x\right) d x$ is
A
$\sin y-e^x \log x=c$
B
$\sin y=e^x \log x+c$
C
$\sin y=e^x+\log x+c$
D
$\sin y=\frac{e^x}{x}+c$

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