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1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $\frac{d y}{d x}=\frac{2 y^2+1}{2 y^3-4 x y+y}$ is
A
$4 x y^2+2 x=y^4+y^2+c$
B
$2 x y^2+x=y^4-y^2+c$
C
$4 x y^2-2 x=y^4+y^2+c$
D
$4 x y^2+2 x=y^4-y^2+c$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $\left(3 x^2-2 x y\right) d y+\left(y^2-2 x y\right) d x=0$ is
A
$x^2-x y=c y^2$
B
$y^2-x y=c x^3$
C
$x y-x^2=c y^3$
D
$x y-y^2=c y^3$
3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The degree and order of the differential equation of the family of parabolas whose axis is the $X$-axis, are respectively

A
2,2
B
2,1
C
$1,2^{\circ}$
D
3,2
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of the differential equation $\left(x \sin \frac{y}{x}\right) d y=\left(y \sin \frac{y}{x}-x\right) d x$ is

A
$\sin ^{-1}\left(\frac{y}{x}\right)=\frac{x}{2}+C$
B
$\sin \left(\frac{x}{y}\right)=\frac{x^2}{2}+C$
C
$\sin \left(\frac{y}{x}\right)=\log |x|+C$
D
$\cos \left(\frac{y}{x}\right)=\log |x|+C$
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