The governing equation for the static transverse deflection of a beam under an uniformly distributed load, according to Euler-Bernoulli (engineering) beam theory, is a
(A) $2^{\text {nd }}$ order linear homogenous partial differential equation.
(B) $4^{\text {th }}$ order linear non-homogenous ordinary differential equation.
(C) $2^{\text {nd }}$ order linear non-homogenous ordinary differential equation.
(D) $4^{\text {th }}$ order nonlinear homogenous ordinary differential equation.
The governing equation for the static transverse deflection of a beam under an uniformly distributed load, according to Euler-Bernoulli (engineering) beam theory, is a
(A) $2^{\text {nd }}$ order linear homogenous partial differential equation.
(B) $4^{\text {th }}$ order linear non-homogenous ordinary differential equation.
(C) $2^{\text {nd }}$ order linear non-homogenous ordinary differential equation.
(D) $4^{\text {th }}$ order nonlinear homogenous ordinary differential equation.
(B) $4^{\text {th }}$ order linear non-homogenous ordinary differential equation.