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1
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of the differential equation

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

A

$\log x+\tan \frac{y}{x}=C$

B

$\log x+\cos \frac{y}{x}=C$

C

$\log x-\sin \frac{y}{x}=C$

D

$\log x-\cos \frac{y}{x}=C$

2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Among the options given below from which option a differential equation of order two can be formed ?
A
All circles passing through origin
B
All parabolas passing through origin and having focus on X-axis
C
All the lines passing through the origin
D
All the hyperbolas of the form $x^2-y^2=K^2$
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The differential equation for which $a x+b y=1$ is general solution is
A
$\frac{d y}{d x}=x+c$
B
$y \frac{d^2 y}{d x^2}+x=1$
C
$\frac{d^2 y}{d x^2}=0$.
D
$\frac{d^3 y}{d x^3}=0$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The solution of the differential equation $e^x y d x+e^x d y+x d x=0$ is
A
$e^x+y x^2=c$
B
$2 y e^x+x^2=c$
C
$y e^x+x^2 e^y=c$
D
$e^x+x e^y=c$
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