What is the solution for (dy)/(dt)+0.9ty=4t,y(0)=6 ?

The solution for (dy)/(dt)+0.9ty=4t,y(0)=6 is y=(e^{-0.45t^2+0.33647…})/(0.9)+4/(0.9)

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(dy)/(dt)+0.9ty=4t,y(0)=6

\frac{d y}{d t} + 0.9 t y = 4 t, y (0) = 6

y = \frac{e ^{- 0.45 t^{2} + 0.33647 \dots}}{0.9} + \frac{4}{0.9}

Solution steps

\frac{d y}{d t} + 0.9 t y = 4 t

Solve separable ODE:

y = \frac{e ^{- 0.45 t^{2} + 0.33647 \dots}}{0.9} + \frac{4}{0.9}

y = \frac{e ^{- 0.45 t^{2} + 0.33647 \dots}}{0.9} + \frac{4}{0.9}

What is the solution for (dy)/(dt)+0.9ty=4t,y(0)=6 ?
The solution for (dy)/(dt)+0.9ty=4t,y(0)=6 is y=(e^{-0.45t^2+0.33647…})/(0.9)+4/(0.9)