Question

The differential equation dy/dx= - x+y/1+x² is .......,Select correct option from given options.
(a) Of variable separable form
(b) Homogeneous
(c) Linear
(d) Of second order

Answer 1

Answer:

option (c) is correct

Step-by-step explanation:

$\frac{dy}{dx}=-x+\frac{y}{1+x^2}$

This equation can be written as

$\frac{dy}{dx}-\frac{y}{1+x^2}=-x$ .........(1)

This equation is of the form

$\frac{dy}{dx}+Py=Q$

where P and Q are functions of x

The differential equation (1) is a Linear

differential equation in y

Answer 2

Answer:

(c) Linear

Step-by-step explanation:

The differential equation dy/dx= - x+y/1+x² is .......,

(a) Of variable separable form

(b) Homogeneous

(c) Linear ✓

(d) Of second order