MCQs of Differential Equations

Showing 71 to 80 out of 100 Questions

71.

The general solution of the differential equation

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

is _____ .

72.

The integrating factor for the differential equation

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

is _____.

73.

The general solution of the differential equation

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

is _____ .

74.

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

75.

The order of the differential equation

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

is _____.

76.

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

77.

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 _____.

78.

The general solution of differential equation

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

is _____ .

79.

The order and degree of the differential equation

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

are ______ respectively.

80.

The order and degree of

\frac{d^{2} y}{d x^{2}} + x \cdot 2^{\frac{dy}{dx}} - 3 = 0

are _____ and _____ respectively.

Showing 71 to 80 out of 100 Questions