MCQs of Differential Equations

Showing 31 to 40 out of 145 Questions

31.

The general solution of

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

is _____

32.

The general solution of

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

is _____

33.

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

34.

The solution of

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

is _____

35.

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

then

y (\frac{π}{2})

=_____

36.

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

37.

The general solution of

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

is _____

38.

The general solution of

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

is _____

39.

The integrating factor of

\frac{d y}{d x} + y = \frac{1 + y}{x}

is _____

40.

The integrating factor of

(1 + x) \frac{d y}{d x} - x y = 1 - x

is _____

Showing 31 to 40 out of 145 Questions