1
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 $x^2-y^2=K^2$
2
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
$\frac{d^3 y}{d x^3}=0$
3
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
$e^x+x e^y=c$
4
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
$x y_2+x y_1^2-y_1=0$
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