What is the solution for (dy)/(dx)=10-y/(50) ?

The solution for (dy)/(dx)=10-y/(50) is y=-e^{(-x-c_{1})/(50)}+500

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(dy)/(dx)=10-y/(50)

\frac{d y}{d x} = 10 - \frac{y}{50}

y = - e^{\frac{- x - c _{1}}{50}} + 500

Solution steps

\frac{d y}{d x} = 10 - \frac{y}{50}

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{50}} + 500

y = - e^{\frac{- x - c _{1}}{50}} + 500

\frac{d y}{d x} = 5 x^{4} y^{2}

\frac{d y}{d x} x^{2} + x^{2} y^{2} + y^{2} = 0

\frac{d y}{d x} = \frac{( x y - 4 x + y - 4 )}{( x y - 6 x - 3 y + 18 )}

\frac{d y}{d t} = 16 y

2 y y^{^{'}} = 12 t^{2}

What is the solution for (dy)/(dx)=10-y/(50) ?
The solution for (dy)/(dx)=10-y/(50) is y=-e^{(-x-c_{1})/(50)}+500