Differential Equations - 14 - Mathematics MCQ

Equation 

The general solution of the differential equation 

The solution of the differential equation  where C is a constant.

The degree of the differential equation 

The integrating factor of the differential equation   is calculated as 

The solution of the recurrence relation x_n = 2 (x_n-1 + x_n-2) with x₁ = 1 and x₂ = 1 - √3 is

Which of the following transformations reduces the given differential equation  into homogeneous one?

The solution of the differential equation y'' + 4y = 0 subject to y(0) = 1, y’ (0) = 2 is

General solution of the differential equation x dy = (y+ xe^-y/x)dx is given by

A particular solution of the differential equation (D⁴ + 2D² - 3) y = e^x is 

A particular solution of the differentia! equation y"'- 3y'' + 3y' - y = e^x cos 2x is

If y = In (sin (x + a)) + b, where a and b are constants, is the primitive, then the corresponding lowest order differential equation is

Solution of the differential equation xy' + sin 2y = x³ sin²y is

The general solution of the differential equation y"' +  y" - y' - y = 0 is

The solution of the differential equation 

Let y[x) = x sin x be one of the solution of an n^th order linear differential equation with constant coefficients. Then the minimum value of n is

The solution of the initial value problem xy’ - y = 0 with y(1) = 1 is