What is the solution for (dy)/(dx)=9.8-0.2y ?

The solution for (dy)/(dx)=9.8-0.2y is y=-5e^{(-x-c_{1})/5}+49

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(dy)/(dx)=9.8-0.2y

\frac{d y}{d x} = 9.8 - 0.2 y

y = - 5 e^{\frac{- x - c _{1}}{5}} + 49

Solution steps

\frac{d y}{d x} = 9.8 - 0.2 y

Solve separable ODE:

y = - 5 e^{\frac{- x - c _{1}}{5}} + 49

y = - 5 e^{\frac{- x - c _{1}}{5}} + 49

y = arctan (2 - x)

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What is the solution for (dy)/(dx)=9.8-0.2y ?
The solution for (dy)/(dx)=9.8-0.2y is y=-5e^{(-x-c_{1})/5}+49