1
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $$\frac{d y}{d x}=(x+y)^2$$ is

A
$$\tan ^{-1}(x+y)=x+C$$
B
$$\tan ^{-1}(x+y)=0$$
C
$$\cot ^{-1}(x+y)=C$$
D
$$\cot ^{-1}(x+y)=x+C$$
2
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$y(x)$$ is the solution of differential equation $$x \log x \frac{d y}{d x}+y=2 x \log x, y(e)$$ is equal to

A
e
B
0
C
2
D
2e
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The sum of the degree and order of the differential equation $$\left(l+y_1^2\right)^{2 / 3}=y_2$$ is

A
4
B
6
C
5
D
7
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

Solution of differential equating $$x d y-y d x=0$$ represents

A
A rectangular hyperbola.
B
Parabola whose vertex is at origin.
C
Straight line passing through origin.
D
A circle whose centre is origin.
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