What is the solution for (dx)/(dt)+(8x)/(240)=2 ?

The solution for (dx)/(dt)+(8x)/(240)=2 is x=-e^{(-t-c_{1})/(30)}+60

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(dx)/(dt)+(8x)/(240)=2

\frac{d x}{d t} + \frac{8 x}{240} = 2

x = - e^{\frac{- t - c _{1}}{30}} + 60

Solution steps

\frac{d x}{d t} + \frac{8 x}{240} = 2

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{30}} + 60

x = - e^{\frac{- t - c _{1}}{30}} + 60

\frac{d y}{d x} = 4 x - 7 x y

y^{^{'}} y = (x^{2} - 2 x + 2) (4 x^{3} - x^{2} + 5)

\frac{d y}{d x} = \frac{cos ( x )}{3 y}

\frac{d y}{d x} y = (x^{6} ln (x))^{4}

y^{^{'}} = \frac{e ^{x} ( y - 2 )}{3}

What is the solution for (dx)/(dt)+(8x)/(240)=2 ?
The solution for (dx)/(dt)+(8x)/(240)=2 is x=-e^{(-t-c_{1})/(30)}+60