Question

Classify the differential equation `(d^2y)/(dx^2) = 1` ?

Answer 1

It is a second order linear nonhomogeneus differential equation.

Explanation:

It is a second order linear nonhomogeneous differential equation.

1) Second order because `(d^2y)/(dx^2)` is the maximum incognita `y(x)` derivation order.

2) Linear because `y(x)` appears linearly involved.

3) Nonhomogeneus because the homogeneus case is
`(d^2y)/(dx^2) = 0`