MCQs of Differential Equations

Showing 21 to 30 out of 145 Questions

21.

The order and degree of

\frac{d^{2} y}{d x^{2}} = {(y + {(\frac{d y}{d x})}^{2})}^{\frac{2}{3}}

are _____ and _____ respectively.

22.

The order and degree of differential equation

\sqrt[3]{{(\frac{d^{2} y}{d x^{2}})}^{2}} = \sqrt{1 + {(\frac{d y}{d x})}^{2}}

are _____

23.

The degree of

e^{x} + \sin (\frac{d y}{d x}) = 3

is _____

24.

\frac{d^{2} y}{d x^{2}} + x {(\frac{d y}{d x})}^{2} + \sin y + x^{2} = 0

25.

The order of the differential equation of family of circles which passes through origin and whose centre is on y - axis is _____

26.

The order of the differential equation of family of circles whose centre is on X - axis is _____

27.

The order of the differential equation of family of circles who has radius a is _____

28.

The differential equation who has

y = e^{a \sin x}

as general solution (where a is arbitrary constant) is

29.

The differential equation of the family of parabola whose vertex is origin and major axis is X - axis is

30.

The differential equation of the family of curve

y^{2} = 4 a (x + a)

where a is arbitrary constant is _____

Showing 21 to 30 out of 145 Questions