1
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The difference of the order and degree of the differential equation $\left(\frac{d^2 y}{d x^2}\right)^{-\frac{7}{2}}\left(\frac{d^3 y}{d x^3}\right)^2-\left(\frac{d^2 y}{d x^2}\right)^{-\frac{5}{2}}\left(\frac{d^4 y}{d x^4}\right)=0$ is
A
5
B
3
C
4
D
2
2
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $x d y+\left(y+y^2 x\right) d x=0$ and $y=1$ at $x=1$, then
A
$y=\frac{x}{1+\log x}$
B
$y=\frac{1+\log x}{x}$
C
$y=x(1+\log x)$
D
$y=\frac{1}{x(1+\log x)}$
3
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
$5 y^2-\sqrt{x^2+y^2}=x$
4
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
$x y_2=y\left(y_1^2+1\right)$
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