The differential equation $y ^ { \prime \prime \prime } + 2 y ^ { \prime \prime } + 3 y ^ { \prime } + 7 y = 0$ is
A) first order linear
B) second order linear
C) third order linear
D) first order nonlinear
E) second order nonlinear

Question

Quizplus · Accepted Answer

The given differential equation is a third order linear differential equation because the highest derivative is of the third order ($y'''$ term) and all terms are linear with respect to $y$, $y'$, $y''$, and $y'''$.

The Differential Equation y′′′+2y′′+3y′+7y=0y ^ { \prime \prime \prime } + 2 y ^ { \prime \prime } + 3 y ^ { \prime } + 7 y = 0y′′′+2y′′+3y′+7y=0

The Differential Equation $y ^ { \prime \prime \prime } + 2 y ^ { \prime \prime } + 3 y ^ { \prime } + 7 y = 0$