What is the solution for (dy)/(dx)=((2880-y))/(320) ?

The solution for (dy)/(dx)=((2880-y))/(320) is y=-e^{(-x-c_{1})/(320)}+2880

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(dy)/(dx)=((2880-y))/(320)

\frac{d y}{d x} = \frac{( 2880 - y )}{320}

y = - e^{\frac{- x - c _{1}}{320}} + 2880

Solution steps

\frac{d y}{d x} = \frac{( 2880 - y )}{320}

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{320}} + 2880

y = - e^{\frac{- x - c _{1}}{320}} + 2880

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What is the solution for (dy)/(dx)=((2880-y))/(320) ?
The solution for (dy)/(dx)=((2880-y))/(320) is y=-e^{(-x-c_{1})/(320)}+2880