What is the solution for (dy)/(dx)=8-y/(50),y(0)=50 ?

The solution for (dy)/(dx)=8-y/(50),y(0)=50 is y=-350e^{-x/(50)}+400

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(dy)/(dx)=8-y/(50),y(0)=50

\frac{d y}{d x} = 8 - \frac{y}{50}, y (0) = 50

y = - 350 e^{- \frac{x}{50}} + 400

Solution steps

\frac{d y}{d x} = 8 - \frac{y}{50}

Solve separable ODE:

y = - 350 e^{- \frac{x}{50}} + 400

y = - 350 e^{- \frac{x}{50}} + 400

y^{^{''}} = 6 t

f (x) = \frac{1}{x ^{8}}

\frac{d}{d x} (x + \frac{1}{x})

\int 2 x + 5 d x

f (x) = - 2 x^{4}, at x = 3

What is the solution for (dy)/(dx)=8-y/(50),y(0)=50 ?
The solution for (dy)/(dx)=8-y/(50),y(0)=50 is y=-350e^{-x/(50)}+400