What is the solution for (dy)/(dx)=9.8-0.196y ?

The solution for (dy)/(dx)=9.8-0.196y is y=-(e^{-0.196x-c_{1}})/(0.196)+(9.8)/(0.196)

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(dy)/(dx)=9.8-0.196y

\frac{d y}{d x} = 9.8 - 0.196 y

y = - \frac{e ^{- 0.196 x - c_{1}}}{0.196} + \frac{9.8}{0.196}

Solution steps

\frac{d y}{d x} = 9.8 - 0.196 y

Solve separable ODE:

y = - \frac{e ^{- 0.196 x - c_{1}}}{0.196} + \frac{9.8}{0.196}

y = - \frac{e ^{- 0.196 x - c_{1}}}{0.196} + \frac{9.8}{0.196}

y^{^{''}} - 4 y^{^{'}} - 21 y = 0

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2 x (y + 1) d x - y d y = 0

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What is the solution for (dy)/(dx)=9.8-0.196y ?
The solution for (dy)/(dx)=9.8-0.196y is y=-(e^{-0.196x-c_{1}})/(0.196)+(9.8)/(0.196)