MCQs of Differential Equations

Showing 91 to 90 out of 100 Questions

91.

\frac{d I}{d y} = 3^{\cos y} \cdot \sin y

, then I = _____.

92.

The general solution of the differential equation

\frac{d y}{d x} = \frac{x \log x^{2} + x}{\sin y + y \cos y}

is _____.

93.

The general solution of the differential equation

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

is _____.

94.

The general solution of the differential equation

\frac{d y}{d x} + \frac{1 + \cos 2 y}{1 - \cos 2 y} = 0

is _____.

95.

The equation of the curve satisfying y'' = 4y' and passing through (1, 0) is _____.

96.

The integrating factor of differential equation (1 + y + x²y)dx + (x + x³)dy = 0 is _____.

97.

The integrating factor of the differential equation

\frac{d y}{d x} + \frac{y}{(1 - x) \sqrt{x}} = 1 - \sqrt{x}

is _____.

98.

The general solution of differential equation

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

is _____.

99.

If the general solution of differential equation

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

is y = c₁e^-2x + c₂x + c₃, then c₁ = _____.

100.

If a is an arbitrary constant for differential equation then the solution of the equation

\frac{d y}{d x} + \sqrt{\frac{1 - y^{2}}{1 - x^{2}}} = 0

is _____.

Showing 91 to 90 out of 100 Questions