MCQs of Differential Equations

Showing 41 to 50 out of 100 Questions

41.

If \frac{d y}{d x} + y \tan x = \sin 2 x

and y(0) = 1, then y(π) is equal to _____

42.

The general solution of the differential equation,

\sin 2 x (\frac{d y}{d x} - \sqrt{\tan x}) - y = 0

is :

43.

If y(x) is the solution of the differential equation

(x + 2) \frac{d y}{d x} = x^{2} + 4 x - 9, x \neq - 2

and y(0) = 0, then y(-4) is equal to :

44.

The solution of the differential equation

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

is x = f(y) :

45.

The solution of the differential equation

\frac{d y}{d x} + \frac{y}{2} s e c x = \frac{\tan x}{2 y}

, where

0 \leq x \leq \frac{π}{2}

, and y(0) = 1, is given by :

46.

The order and degree of differential equation of

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

are respectively _____ and _____

47.

The solution of the differential equation

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

is _____

48.

The solution of a differential equation

\frac{3 e^{x}}{1 - e^{x}} d x + \frac{\sec^{2} y}{\tan y} d y = 0

is _____

49.

if m and n respectively the order and degree of the differential equation

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

then _____

50.

The order and degree of the differential equation

\sqrt{\frac{d y}{d x}} - \frac{4 d y}{d x} = 7 x

are _____ and _____ respectively.

Showing 41 to 50 out of 100 Questions