Put the differential equation $6ty+e^t{y}^{\text{'}}=\frac{y}{t^2+36}$ into the form $y^{\text{'}}+p(t)y=g(t)$ and find $p(t)$ and $g(t).$

$p(t)=$

$$ help $($formulas$)$

$g(t)=$ help $($formulas$)$

Is the differential equation $6ty+e^t{y}^{\text{'}}=\frac{y}{t^2+36}$ linear and homogeneous, linear and nonhomogeneous, or nonlinear?

Answer:

Choose

Choose

Note: In $0$

linear and homogeneous swers must be correct.

linear and nonhomogeneous

nonlinear