1
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The order of the differential equation obtained by eliminating arbitrary constants in the family of curves $$c_1 y=\left(c_2+c_3\right) e^{x+c_4}$$ is

A
1
B
2
C
3
D
4
2
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The general solution of the differential equation $$x^2 d y-2 x y d x=x^4 \cos x d x$$ is

A
$$y=x^2 \sin x+c x^2$$
B
$$y=x^2 \sin x+c$$
C
$$y=\sin x+c x^2$$
D
$$y=\cos x+c x^2$$
3
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The curve passing through the point $$(1,2)$$ given that the slope of the tangent at any point $$(x, y)$$ is $$\frac{3 x}{y}$$ represents

A
Circle
B
Parabola
C
Ellipse
D
Hyperbola
4
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
$$-\frac{1}{y^2}$$
KCET Subjects
EXAM MAP