The differential equation $y ^ { \prime \prime } + 2 y ^ { \prime } + 3 y = \sin y$ 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 second order due to the presence of $y''$ (the second derivative of $y$) and nonlinear because of the sine function applied to $y$, making it not linear in terms of $y$ and its derivatives.

The Differential Equation y′′+2y′+3y=sin⁡yy ^ { \prime \prime } + 2 y ^ { \prime } + 3 y = \sin yy′′+2y′+3y=siny

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