1
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The solution of $x d y-y d x=\sqrt{x^2+y^2} d x$ when $y(\sqrt{3})=1$ is
A
$y^2+\sqrt{x^2+y^2}=x^2$
B
$5 y-\sqrt{x^2+y^2}=x^2$
C
$y+\sqrt{x^2+y^2}=x^2$
D
$5 y^2-\sqrt{x^2+y^2}=x$
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The differential equation representing the family of circles having their centres of Y -axis is $\left(y_1=\frac{d y}{d x}\right.$ and $\left.y_2=\frac{d^2 y}{d x^2}\right)$
A
$y_2=y\left(y_1^2+1\right)$
B
$y_2=x y\left(y_1^2+1\right)$
C
$x_2=y_1\left(y_1^2+1\right)$
D
$x y_2=y\left(y_1^2+1\right)$
3
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $\left(\sin y \cos ^2 y-x \sec ^2 y\right) d y=(\tan y) d r$, is
A
$\tan y=3 x \cos ^3 y+c$
B
$x(\sec y+\tan y)=\cos ^2 y+c$
C
$y \sin y=x^2 \cos ^2 y+c$
D
$3 x \tan y+\cos ^3 y=c$
4
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $(x-y-1) d y=(x+y+1) d x$ is
A
$\tan ^{-1}\left(\frac{y+1}{x}\right)-\frac{1}{2} \log \left(x^2+y^2+2 y+1\right)=0$
B
$(x-y)+\log (x+y)=c$
C
$y^2-x^2+x y-3 y-x=c$
D
$(x-y-1)^2(x+y+1)^3=c$
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