1
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The solution of differential equation $\left(x+2 y^3\right) \frac{d y}{d x}=y$ ls
A
$x=y(2 x y+c)$
B
$x=y\left(y^2+c\right)$
C
$y=x\left(x^2+0\right)$
D
$x y=\frac{y^4}{2}+c$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Order and degree of the differential equation $\frac{d^3 y}{d x^3}=\left[1+\left(\frac{d y}{d x}\right)^2\right]^{\frac{5}{2}}$, respectively are
A
5,2
B
3,5
C
3,2
D
2,3
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Integrating factor of the differential equation $\sin x \frac{d y}{d x}-y \cos x=1$ is
A
$\sin x$
B
$\cos x$
C
$\sec x$
D
$\operatorname{cosec} x$
4
AP EAPCET 2024 - 20th 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
$\cos \frac{x}{y}=\log _6 x+c$
B
$\cos \frac{x}{y}=\log _e y+c$
C
$\cos \frac{y}{x}=\log _e x+c$
D
$\cos \frac{y}{x}=\log _e y+c$
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