Determine whether the differential equation is linear.
$$y ^ { t } + 3 x ^ { 2 } y = 6 x ^ { 2 }$$
A) the equation is not linear
B) the equation is linear

Name: Determine whether the differential equation is linear. \[y ^ { t } + 3 x ^ { 2 } y = 6 x ^ { 2 }\] A) the equation is not linear B) the equation is linear
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Question

Quizplus · Accepted Answer

The equation is linear because it can be written in the form $y' + P(x)y = Q(x)$, where $P(x) = 3x^2$ and $Q(x) = 6x^2$.

Determine Whether the Differential Equation Is Linear yt+3x2y=6x2y ^ { t } + 3 x ^ { 2 } y = 6 x ^ { 2 }yt+3x2y=6x2

Determine Whether the Differential Equation Is Linear $y ^ { t } + 3 x ^ { 2 } y = 6 x ^ { 2 }$