1
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The integrating factor of the differential equation $$\left(2 x+3 y^2\right) d y=y d x(y>0)$$ is

A
$$\frac{1}{x}$$
B
$$\frac{1}{e^y}$$
C
$$\frac{1}{y^2}$$
D
$$-\frac{1}{y^2}$$
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The equation of the curve passing through the point $$(1,1)$$ such that the slope of the tangent at any point $$(x, y)$$ is equal to the product of its co-ordinates is

A
$$2 \log y=x^2-1$$
B
$$2 \log x=y^2-1$$
C
$$2 \log x=y^2+1$$
D
$$2 \log y=x^2+1$$
3
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The order of the differential equation $$y=C_1 e^{C_2+x}+C_3 e^{C_4+x}$$ is

A
3
B
1
C
4
D
2
4
KCET 2018
MCQ (Single Correct Answer)
+1
-0
The degree and the order of the differential equation $\frac{d^2 y}{d x^2}=\sqrt[3]{1+\left(\frac{d y}{d x}\right)^2}$ respectively are
A
2 and 3
B
3 and 2
C
2 and 2
D
3 and 3
KCET Subjects
EXAM MAP