In each case decide whether the equation is linear or nonlinear, homogeneous or nonhomogeneous, and state its order.

$\frac{u^{\text{'}}}{u}=1+x$

${?}^{\text{'}}=1+x$

$sin{u}^{\text{'}}=u$

$u^{\text{'}\text{'}}-2u^{\text{'}}+u=cosx$

$u^{\text{'}\text{'}}=x^2$

$u^{\text{'}\text{'}}=u$

$u^{\text{'}\text{'}}=u^2$

$(u^2{)}^{\text{'}}=-u$