Differential Equations - 10 - Mathematics MCQ

General solution of differential equation dy/dx  + tan x tan y = cos x sec y is

The solution of the differential equation 

Let y be a function of x satisfying  of y(0) = 0 then y(1) is

The integrating factor of the DE  (2xy⁴e^y + 2xy³ + y) dx + (x²y⁴e^y - x²y² - 3x)dy = 0

A particular solution of

The nodes have a double point

The solution of the equation y' sin x = y log y satisfying the initial condition  is

For a given differential equation

An integrating factor for (cos y sin 2x) dx + (cos² y - cos² x)dy = 0 is

The p-discriminant does not contain one of the following.

The non-zero value of n for which the differential equation (3xy² + n² x²y) dx + (nx³ + 3x²y) dy = 0, x ≠ 0 become exact differential equation is:

In equation Mdx + Ndy = 0 has the form f₁(x, y)y dx + f₂(x, y)xdy = 0 and Mx - Ny = 0 an integrating factor is 

Any equation contains n-arbitrary constants, then the order of differential equation derived from it is

The differential equation, derived from y = Ae^2x + Be^-2x have the order, where A, B are constants

If   where a is a constant, then  is equal to

The solution of the differential equation (2ax + by) y dx + (ax + 2by)x dy = 0 is