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

If $$m$$ is order and $$n$$ is degree of the differential equation $$\left(\frac{d^2 y}{d x^2}\right)^5+4 \frac{\left(\frac{d^2 y}{d x^2}\right)}{\left(\frac{d^3 y}{d x^3}\right)}+\left(\frac{d^3 y}{d x^3}\right)=x^2$$ then

A
$$\mathrm{m}=3, \mathrm{n}=1$$
B
$$\mathrm{m}=3, \mathrm{n}=2$$
C
$$\mathrm{m}=3, \mathrm{n}=3$$
D
$$\mathrm{m}=3, \mathrm{n}=5$$
2
MHT CET 2021 21th September Morning Shift
+2
-0

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

A
$$x^2\left(2 x y-y^2\right)=c$$
B
$$x^2\left(y^2-2 x y\right)=c$$
C
$$x\left(2 x y+y^2\right)=c$$
D
$$x^2\left(2 x y+y^2\right)=c$$
3
MHT CET 2021 21th September Morning Shift
+2
-0

The differential equation of family of circles whose centres lie on $$\mathrm{X}$$-axis is

A
$$\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2+1=0$$
B
$$y\left(\frac{d^2 y}{d x^2}\right)+\left(\frac{d y}{d x}\right)^2+1=0$$
C
$$y\left(\frac{d^2 y}{d x^2}\right)-\left(\frac{d y}{d x}\right)^2-1=0$$
D
$$y\left(\frac{d^2 y}{d x^2}\right)+\left(\frac{d y}{d x}\right)^2-1=0$$
4
MHT CET 2021 21th September Morning Shift
+2
-0

The general solution of the differential equation $$y(1+\log x)\left(\frac{d x}{d y}\right)-x \log x=0$$ is

A
$$y(1+\log x)=c$$
B
$$x \log x=y c$$
C
$$x \log x=y+c$$
D
$$\log x-y=c$$
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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