MCQs of Differential Equations

Showing 91 to 100 out of 145 Questions

91.

The degree of the homogeneous function

f (x, y) = \frac{x^{\frac{1}{2}} + y^{\frac{1}{2}}}{x^{\frac{1}{3}} - y^{\frac{1}{3}}}

is _____ .

92.

The general solution of the differential equation

(1 + x^{2}) \frac{d y}{d x} + 1 + y^{2} = 0

is _____ .

93.

The general solution of the differential equation

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

is _____ .

94.

The integrating factor for the differential equation

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

is _____.

95.

The general solution of the differential equation

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

is _____ .

96.

The differential equation for the family of curves y = a sin (x + b) is _____ , where a and b are arbitrary constants.

97.

The order of the differential equation

\sqrt{\frac{d^{3} y}{d x^{3}}} = \sqrt{\frac{d y}{d x}}

is _____.

98.

The solution the differential equation sec²x tany dx + sec²y tanx dy = 0 is _____.

99.

The degree of the differential equation

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

is _____.

100.

The length of sub-tangent of

y = e^{\frac{x}{c}}

is _____.

Showing 91 to 100 out of 145 Questions