What is the solution for (dy)/(dx)= 1/5 (8-y) ?

The solution for (dy)/(dx)= 1/5 (8-y) is y=-e^{(-x-c_{1})/5}+8

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(dy)/(dx)= 1/5 (8-y)

\frac{d y}{d x} = \frac{1}{5} (8 - y)

y = - e^{\frac{- x - c _{1}}{5}} + 8

Solution steps

\frac{d y}{d x} = \frac{1}{5} (8 - y)

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{5}} + 8

y = - e^{\frac{- x - c _{1}}{5}} + 8

1 - \frac{1}{1 + x}

\frac{d}{d x} (4 x^{2} 5 x + 1)

\int \frac{5}{4 sin ( x ) + 3 cos ( x )} d x

x^{2} y^{^{''}} + 2 x y^{^{'}} - 6 y = 0, y (1) = 0, y^{^{'}} (1) = - 4

What is the solution for (dy)/(dx)= 1/5 (8-y) ?
The solution for (dy)/(dx)= 1/5 (8-y) is y=-e^{(-x-c_{1})/5}+8