MCQs of Differential Equations

Showing 131 to 140 out of 145 Questions

131.

If c₁, c₂, c₃, c₄, c₅, c₆ are constants, the order of the differential equation
y = c₁cos(x + c₂) + c₃sin(x + c₄) + c₅e^x + c₆ is _____.

132.

If the slope of the family of curves of lines is equal to y - intercept, its differential equation is _____.

133.

The order and degree of family of curves differential equation satisfying

y^{2} = 2 c (x + \sqrt[3]{c})

are _____. where c is arbitrary constant.

134.

The differential equation satisfying y = xe^cx (where c is arbitrary constant) is _____.

135.

The integrating factor of the differential equation

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

is _____.

136.

The general solution of differential equation

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

is _____.

137.

The differential equation of family of curves y = e^2x(a cosx + b sinx),(where a and b are arbitrary constants.)

138.

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 = _____.

139.

The differential equation of family of circles whose radius is 5 and whose centre lie on y = 2 is _____.

140.

The differential equation of the family of circles passing through origin and whose centre lies on X - axis is _____.

Showing 131 to 140 out of 145 Questions