Determine whether the differential equation is linear. Select the correct answer.
$$y ^ { t } + 6 x ^ { 5 } y = 6 x ^ { 5 }$$
A) the equation is linear
B) the equation is not linear

Question

Quizplus · Accepted Answer

The given differential equation can be rewritten as $ \frac{dy}{dt} + 6x^5y = 6x^5 $, which is in the standard form of a first-order linear differential equation.

Determine Whether the Differential Equation Is Linear yt+6x5y=6x5y ^ { t } + 6 x ^ { 5 } y = 6 x ^ { 5 }yt+6x5y=6x5

Determine Whether the Differential Equation Is Linear $y ^ { t } + 6 x ^ { 5 } y = 6 x ^ { 5 }$