What is the solution for (dy)/(dt)=25-10t-2y ?

The solution for (dy)/(dt)=25-10t-2y is y=-5t+15+(c_{1})/(e^{2t)}

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(dy)/(dt)=25-10t-2y

\frac{d y}{d t} = 25 - 10 t - 2 y

y = - 5 t + 15 + \frac{c _{1}}{e ^{2 t}}

Solution steps

\frac{d y}{d t} = 25 - 10 t - 2 y

Solve linear ODE:

y = - 5 t + 15 + \frac{c _{1}}{e ^{2 t}}

y = - 5 t + 15 + \frac{c _{1}}{e ^{2 t}}

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What is the solution for (dy)/(dt)=25-10t-2y ?
The solution for (dy)/(dt)=25-10t-2y is y=-5t+15+(c_{1})/(e^{2t)}