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

Jun 23, 2016

It is a second order linear nonhomogeneus differential equation.

#### Explanation:

It is a second order linear nonhomogeneous differential equation.

1) Second order because $\frac{{d}^{2} y}{{\mathrm{dx}}^{2}}$ is the maximum incognita $y \left(x\right)$ derivation order.

2) Linear because $y \left(x\right)$ appears linearly involved.

3) Nonhomogeneus because the homogeneus case is
$\frac{{d}^{2} y}{{\mathrm{dx}}^{2}} = 0$