1
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The differential equation of the family of hyperbols having their centres at origin and their axes along coordinates axes is
A
$x y y_2+x y_1^2-y y_1=0$
B
$x y_2-x y y_1^2+y y_1=0$
C
$x y y_2+x y_1^2+y y_1=0$
D
$x y_2+x y_1^2-y_1=0$
2
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of the differential equation $\left(x y+y^2\right) d x-\left(x^2-2 x y\right) d y=0$ is

A
$c x y^2=e^{\frac{x}{y}}$
B
$c x y^2 e^{\frac{x}{y}}=1$
C
$c x y e^{\frac{x}{y}}=1$
D
$c x y=e^{\frac{x}{y}}$
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $(1+\tan y)(d x-d y)+2 x d y=0$ is
A
$e^x(y \cos x+\sin x)+\sin x=c$
B
$e^x(y \cos x+y \sin x-\sin x)+\cos x=0$
C
$e^y(x \cos y+x \sin y-\sin y)=c$
D
$e^y(x \cos y+x \sin y+\sin y)=c$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $x d y-y d x=\sqrt{x^2+y^2} d x$ is
A
$y+\sqrt{x^2+y^2}=c x^2$
B
$y+\sqrt{x^2+y^2}=c x$
C
$x+\sqrt{x^2+y^2}=c y$
D
$x-\sqrt{x^2+y^2}=c y^2$
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