MCQs of Differential Equations

Showing 11 to 20 out of 145 Questions

11.

The solution of the differential equation \frac{d y}{d x} + \frac{2}{x} = 0 with y (1) = 1 is given by_____

12.

The number of arbitrary constants in the general solution of a differential equation of second order is _____

13.

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

14.

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

15.

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

16.

The solution of the differential equation 2 x \frac{d y}{d x} - y = 0; y (1) = 2 represents_____.

17.

The order and degree of differential equation

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

are _____ and _____ respectively.

18.

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.

19.

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 _____

20.

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.

Showing 11 to 20 out of 145 Questions