What is the solution for (dy)/(dt)=3-3/10 y ?

The solution for (dy)/(dt)=3-3/10 y is y=-(e^{(-3t-c_{1})/(10)})/3+10

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(dy)/(dt)=3-3/10 y

\frac{d y}{d t} = 3 - \frac{3}{10} y

y = - \frac{e ^{\frac{- 3 t - c _{1}}{10}}}{3} + 10

Solution steps

\frac{d y}{d t} = 3 - \frac{3}{10} y

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 t - c _{1}}{10}}}{3} + 10

y = - \frac{e ^{\frac{- 3 t - c _{1}}{10}}}{3} + 10

What is the solution for (dy)/(dt)=3-3/10 y ?
The solution for (dy)/(dt)=3-3/10 y is y=-(e^{(-3t-c_{1})/(10)})/3+10