1
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The curve that satisfies the differential equation $x y d y-\left(1+y^2\right) d x=0$ passes through $(1,0)$ and intersects the curve $x^2+3 y^2=3$ at an angle $\theta$. Then, $\frac{2 \theta}{\pi}=$

A

2

B

0

C

4

D

1

2
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The order and degree of the differential equation $\frac{d^2 y}{d x^2}+y+\left(\frac{d y}{d x}-\frac{d^3 y}{d x^3}\right)^{3 / 2}=0$, are respectively.

A

3,4

B

2,2

C

3,2

D

3,3

3
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of the differential equation $\frac{d y}{d x}=\frac{2 x-3 y+4}{3 x+2 y-7}$ is

A

$x^2+y^2=3 x y+y+C$

B

$(2 x-3 y)^2+(3 x+2 y)^2=C$

C

$x^2+y^2+3 x y-4 x-7 y+C=0$

D

$x^2-3 x y-y^2+4 x+7 y+C=0$

4
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of $\frac{d y}{d x}=\frac{x+y+1}{y-x+1}$ is

A

$2 x y+(x+1)^2-(y+1)^2=C$

B

$(x+1)^2-(y+1)^2=C+x y$

C

$(x+1)^2+2 x y=C(y+1)$

D

$(x+1)(y+1)=C x y$

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