MCQs of Differential Equations

Showing 21 to 30 out of 100 Questions

21.

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

22.

The differential equation who has

y = e^{a \sin x}

as general solution (where a is arbitrary constant) is

23.

The differential equation of the family of curve

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

where a is arbitrary constant is _____

24.

The general solution of

\frac{d y}{d x} = \frac{x^{2}}{y^{2}}

is _____

25.

The general solution of

\frac{d y}{d x} = \frac{y}{x}

is _____

26.

The solution of cosx siny dx + sinx cosy dy = 0 is _____

27.

The solution of

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

is _____

28.

(\frac{2 + \sin x}{y + 1}) \frac{d y}{d x} = - c o s x, y (0) = 1

then

y (\frac{π}{2})

=_____

29.

The general soution of

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

is _____

(a)	$y = \frac{1}{4} x^{2}$
(b)	$y = \frac{1}{4} x^{3} + c$ where, c is contant
(c)	$y = \frac{1}{4} x^{3} + \frac{c}{x}$ where, c is contant
(d)	none of these

30.

The general solution of

(x + 2 y^{3}) \frac{d y}{d x} - y = 0

is _____

Showing 21 to 30 out of 100 Questions