What is the solution for (dy)/(dt)+0.7ty=7t,y(0)=7 ?

The solution for (dy)/(dt)+0.7ty=7t,y(0)=7 is y=9.99999…-(2.99999…)/(e^{0.35t^2)}

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(dy)/(dt)+0.7ty=7t,y(0)=7

\frac{d y}{d t} + 0.7 t y = 7 t, y (0) = 7

y = 9.99999 \dots - \frac{2.99999 \dots}{e ^{0.35 t^{2}}}

Solution steps

\frac{d y}{d t} + 0.7 t y = 7 t

Solve linear ODE:

y = 9.99999 \dots - \frac{2.99999 \dots}{e ^{0.35 t^{2}}}

y = 9.99999 \dots - \frac{2.99999 \dots}{e ^{0.35 t^{2}}}

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (2 x)

\frac{d}{d x} (\frac{50}{x ^{9}})

\int \frac{8}{4 - x ^{2}} d x

\int \frac{x ^{2} - 1}{x ^{3} - 3 x + 1} d x

cos^{s i n (x)} (x)

What is the solution for (dy)/(dt)+0.7ty=7t,y(0)=7 ?
The solution for (dy)/(dt)+0.7ty=7t,y(0)=7 is y=9.99999…-(2.99999…)/(e^{0.35t^2)}