Differential Equations - 11 - Mathematics MCQ

The c-discriminant when equated to zero includes nodal locus

Solve (D + 1) x + (D - 1) y = e^t, ( D² + D + 1) x + (D² - D + l)y  = t² where D = d/dt

The number of arbitrary constants complete primitive of differential equation  contains

The solution of the equation  is

A solution of a differential equation which contains no arbitrary constants is

The solution of the differential equation,  when x = 0 is

Order and degree of the differential equation e^y'" - xy" + y = 0 are respectively

Consider a general first order linear non-homogeneous ordinary differential equation with y = φ(x) as its solution.
Let ψ(x) be the solution of the associated homogeneous equation and C an arbitrary constant. Then, the general equation has the following solution.

Which One of the following is the solution of differential equation?

The solution of the differential equation y =  is

The differential equation (3a²x² + by cos x) dx + (2 sin x - 4ay') dy = 0 is exact for

The orthogonal trajectory to the family of circles x² + y² = 2cx (c arbitrary) is describe by the differential equation,

Which of the following is/are integrating factor of the differential equation xdx + ydy = 0

The solution of (x + 1) dy/dx = 1 - e^-y is

The differential equation  when solved with the condition y(0) = 0, yields the result

y = px - 2p² find its singular solution

The solution of differential equation contains as many as arbitrary constant as the order of a differential equation, then the solution is said to be