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 $y ^ { t } + 3 x ^ { 2 } y = 6 x ^ { 2 }$