Question

classify the following differential equation s given in both standard and differential form. Q5 only​

Answer 1

The given differential equation is:

y' = 2xy + x

Rewriting it in differential form, we get:

(2xy + x)dx - dy = 0

This is a first-order linear differential equation, which can be written in the form:

y' + P(x)y = Q(x)

where P(x) = -2x and Q(x) = x.

Therefore, the differential equation is a first-order linear differential equation.