What is the solution for (dy)/(dt)=12-y/(50) ?

The solution for (dy)/(dt)=12-y/(50) is y=-e^{(-t-c_{1})/(50)}+600

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(dy)/(dt)=12-y/(50)

\frac{d y}{d t} = 12 - \frac{y}{50}

y = - e^{\frac{- t - c _{1}}{50}} + 600

Solution steps

\frac{d y}{d t} = 12 - \frac{y}{50}

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{50}} + 600

y = - e^{\frac{- t - c _{1}}{50}} + 600

v y ln (v) d y - y (v d y + y d v) = 0

y^{^{'}} = 0.01398 y, y (0) = 150

\frac{d y}{d x} = (- 2 x + 1) y, y (0) = 6.8

\frac{d y}{d x} + y = y (sin (x) + 1)

3 x y^{2} y^{^{'}} = y^{3}

What is the solution for (dy)/(dt)=12-y/(50) ?
The solution for (dy)/(dt)=12-y/(50) is y=-e^{(-t-c_{1})/(50)}+600