MCQs of Differential Equations

Showing 11 to 20 out of 100 Questions

11.

The number of arbitrary constants in the particular solution of a differential equation of fourth order is _____

12.

The differential equation \frac{d y}{d x} = e^{x + y} has solution_____.

13.

the degree of differential equation {[1 + {(\frac{d y}{d x})}^{3}]}^{\frac{2}{3}} = x (\frac{d^{2} y}{d x^{2}}) is_____.

14.

The order and degree of differential equation

\sqrt{\sin x} (d x + d y) = \sqrt{\cos x} (d x - d y)

are _____ and _____ respectively.

15.

The order and degree of differential equation

4 \frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} + \int y d x = x^{2}

are _____ and _____ respectively.

16.

If p and q are order and degree of

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

then _____

17.

The order and degree of differential equation

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

are _____ and _____ respectively.

18.

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.

19.

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 _____

20.

The degree of

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

is _____

Showing 11 to 20 out of 100 Questions