What is the solution for (dy)/(dx)=0.0175-0.3821*y ?

The solution for (dy)/(dx)=0.0175-0.3821*y is y=-(e^{-0.3821x-c_{1}})/(0.3821)+(0.0175)/(0.3821)

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(dy)/(dx)=0.0175-0.3821*y

\frac{d y}{d x} = 0.0175 - 0.3821 \cdot y

y = - \frac{e ^{- 0.3821 x - c_{1}}}{0.3821} + \frac{0.0175}{0.3821}

Solution steps

\frac{d y}{d x} = 0.0175 - 0.3821 \cdot y

Solve separable ODE:

y = - \frac{e ^{- 0.3821 x - c_{1}}}{0.3821} + \frac{0.0175}{0.3821}

y = - \frac{e ^{- 0.3821 x - c_{1}}}{0.3821} + \frac{0.0175}{0.3821}

e^{y} = y^{^{'}}

\frac{y ^{^{'}} + y}{y} = 0

\frac{d y}{d x} y = 2 x^{4} sin (3 x)

y^{2} y^{^{'}} = x^{2} - 3

\frac{d}{d x} (x y^{2}) = 6

What is the solution for (dy)/(dx)=0.0175-0.3821*y ?
The solution for (dy)/(dx)=0.0175-0.3821*y is y=-(e^{-0.3821x-c_{1}})/(0.3821)+(0.0175)/(0.3821)