MCQs of Differential Equations

Showing 61 to 70 out of 100 Questions

61.

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

has degree _____.

62.

f (x, y) = \frac{x^{5} + y^{5}}{x^{2} + y^{2}}

is a homogeneous function of degree.

63.

An integrating factor of differential equation

\frac{d x}{d y} = \frac{1}{3 x + 2 y + 5}

is _____.

64.

Which of the following function is a solution of the differential equation

{(\frac{d y}{d x})}^{2} - x \frac{d y}{d x} = 6 y - 18 ?

65.

The solution of the differential equation

\frac{d x}{d y} + \frac{x}{3 y} = 0

with y(1) = 1 is given by _____ .

66.

The number of arbitrary constant in the general solution of differential equation of third order is _____ .

67.

The number of arbitrary constants in the particular solution of differential equation of third order is _____ .

68.

The differential equation

\frac{d y}{d x} = e^{2 x + 3 y}

has solution _____ .

69.

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 _____ .

70.

The general solution of the differential equation

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

is _____ .

Showing 61 to 70 out of 100 Questions