1
MHT CET 2021 21th September Morning Shift
+2
-0

The general solution of the differential equation $$\frac{d y}{d x}=\frac{x+2 y-1}{x+2 y+1}$$ is

A
$$3(x+y)+4 \log |3 x+6 y-1|=K$$
B
$$3(x-y)+4 \log |3 x+6 y-1|=K$$
C
$$6(-x+y)+4 \log |3 x+6 y-1|=K$$
D
$$6(x+y)+4 \log |3 x+6 y-1|=K$$
2
MHT CET 2021 20th September Evening Shift
+2
-0

If $$\mathrm{m}$$ is order and $$\mathrm{n}$$ is degree of the differential equation $$y=\frac{d p}{d x}+\sqrt{a^2 p^2-b^2}$$, where $$p=\frac{d y}{d x}$$, then the value of $$m+n$$ is

A
2
B
3
C
4
D
5
3
MHT CET 2021 20th September Evening Shift
+2
-0

The general solution of the differential equation $$\cos x \cdot \sin y d x+\sin x \cdot \cos y d y=0$$ is

A
$$\sin x+\sin y=c$$
B
$$\sin x \cdot \sin y=c$$
C
$$\cos x+\cos y=c$$
D
$$\cos x \cdot \cos y=c$$
4
MHT CET 2021 20th September Evening Shift
+2
-0

The differential equation of an ellipse whose major axis is twice its minor axis, is

A
$$x+4 y \frac{d y}{d x}=0$$
B
$$x-4 y \frac{d y}{d x}=0$$
C
$$x+2 y \frac{d y}{d x}=0$$
D
None of these
MHT CET Subjects
Physics
Mechanics
Optics
Electromagnetism
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Calculus
Coordinate Geometry
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