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

If $$\frac{d y}{d x}+\frac{y}{x}=x^2$$, then $$2 y(2)-y(1)=$$

A
$$\frac{11}{4}$$
B
$$\frac{15}{4}$$
C
$$\frac{9}{4}$$
D
$$\frac{13}{4}$$
2
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
$$\cot ^{-1}(x+y)=x+C$$
3
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
4
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
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