1
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
2
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
$\operatorname{cosec} x$
3
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
$\cos \frac{y}{x}=\log _e y+c$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Find the dimension formula of $\frac{a}{b}$ in the equation $F=a \sqrt{x}+b t^2$, where $F$ is force, $x$ is distance and $t$ is time.
A
$\left[M^0 L^{-1 / 2} T^2\right]$
B
$\left[M^0 L^0 T^{3 / 2}\right]$
C
$\left[M^0 L^1 T^{-4}\right]$
D
$\left[M^0 L^{3 / 2} T^4\right]$
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