The differential equation $y ^ { \prime } + 3 y = \sin x$ 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

This is a first order linear differential equation because it involves the first derivative of y (denoted as $y'$) and y itself, both appearing linearly, and is equal to a function of x ($\sin x$).

The Differential Equation y′+3y=sin⁡xy ^ { \prime } + 3 y = \sin xy′+3y=sinx

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