MCQs of Differential Equations

Showing 71 to 80 out of 145 Questions

71.

The solution of

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

_____

72.

The degree of the differential equation is

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

is _____

73.

The solution of

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

is _____

74.

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

is an integrating factor of _____

75.

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}

= _____

76.

The order of the differential equation whose solution is

y = (c_{1} + c_{2}) \cos (x + c_{3}) - c_{4} e^{x + c_{5}}

is _____

77.

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

78.

Solution of the differential equation

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

is _____

79.

The order of the differential equation whose general solution is y = A sin3x + B cos3x (where A, B are arbitrary constant) is _____ .

80.

{(y')}^{2} + y = \frac{4}{{(y')}^{2}}

has degree _____.

Showing 71 to 80 out of 145 Questions