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1
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
$\cos \frac{y}{x}=\log _e y+c$
2
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The sum of the order and degree of the differential equation $\frac{d^4 y}{d x^4}=\left\{c+\left(\frac{d y}{d x}\right)^2\right\}^{3 / 2}$ is
A
4
B
6
C
5
D
8
3
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \begin{aligned} &\text { The general solution of the differential equation }\\ &(x+y) y d x+(y-x) x d y=0 \text { is } \end{aligned} $$

A
$x+y \log (c y)=0$
B
$\frac{y}{x}=\log (x y)+c$
C
$x+y \log (c x y)=0$
D
$\frac{y}{x}=\log (c x y)$
4
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $\left(y^2+x+1\right) d y=(y+1) d x$ is
A
$x+2+(y+1) \log (y+1)^2=y+c$
B
$x+2+\log (y+1)^2=\frac{y}{y+1}+c$
C
$\frac{x}{y+1}=\log (y+1)^2+y+c$
D
$\frac{x+2}{y+1}+\log (y+1)^2=y+c$
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