What is the solution for (dy)/(dx)=0.07-y/(708) ?

The solution for (dy)/(dx)=0.07-y/(708) is y=-e^{(-x-c_{1})/(708)}+49.56

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(dy)/(dx)=0.07-y/(708)

\frac{d y}{d x} = 0.07 - \frac{y}{708}

y = - e^{\frac{- x - c _{1}}{708}} + 49.56

Solution steps

\frac{d y}{d x} = 0.07 - \frac{y}{708}

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{708}} + 49.56

y = - e^{\frac{- x - c _{1}}{708}} + 49.56

What is the solution for (dy)/(dx)=0.07-y/(708) ?
The solution for (dy)/(dx)=0.07-y/(708) is y=-e^{(-x-c_{1})/(708)}+49.56