What is the solution for (dy)/(dt)+0.7ty=9t,y(0)=5 ?

The solution for (dy)/(dt)+0.7ty=9t,y(0)=5 is y=12.85714…-(7.85714…)/(e^{0.35t^2)}

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(dy)/(dt)+0.7ty=9t,y(0)=5

\frac{d y}{d t} + 0.7 t y = 9 t, y (0) = 5

y = 12.85714 \dots - \frac{7.85714 \dots}{e ^{0.35 t^{2}}}

Solution steps

\frac{d y}{d t} + 0.7 t y = 9 t

Solve linear ODE:

y = 12.85714 \dots - \frac{7.85714 \dots}{e ^{0.35 t^{2}}}

y = 12.85714 \dots - \frac{7.85714 \dots}{e ^{0.35 t^{2}}}

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\frac{8 x}{9 - cot ( x )}

\frac{d}{d x} (\frac{1}{1 - 2 x ^{2}})

y = 6 x - x^{2}

\int e^{t} t d t

What is the solution for (dy)/(dt)+0.7ty=9t,y(0)=5 ?
The solution for (dy)/(dt)+0.7ty=9t,y(0)=5 is y=12.85714…-(7.85714…)/(e^{0.35t^2)}