MCQs of Differential Equations

Showing 51 to 60 out of 100 Questions

51.

Which of the following differential equations has the same order and degree ?

52.

The solution of the differential equation y' - y = 1, y = _____

53.

The integrating factor of differential equation is

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

_____

54.

The solution of

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

_____

55.

The degree of the differential equation is

\sin (\frac{d^{2} y}{d x^{2}}) + 5 y = 9

is _____

56.

The solution of

\frac{d y}{d x} + y = \cos x - \sin x

is _____

57.

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

is an integrating factor of _____

58.

y = c_{1} e^{2 x} + c_{2} e^{x} + c_{3} e^{- x}

satisfies the

\frac{d^{3} y}{d x^{3}} + a \frac{d^{2} y}{d x^{2}} + b \frac{d y}{d x} + c x = 0

then

\frac{a^{3} + b^{3} + c^{3}}{a b c}

= _____

59.

The curve y = f(x) passes through (1, 2) and if it satisfies the differential equation y(1 + xy) dx - x dy = 0 then _____

60.

Solution of the differential equation

\frac{d y}{d x} = \frac{y}{x} + \frac{ϕ (\frac{y}{x})}{ϕ' (\frac{y}{x})}

is _____

Showing 51 to 60 out of 100 Questions