What is the solution for x^'=0.0175-0.3821x ?

The solution for x^'=0.0175-0.3821x is x=-(e^{-0.3821t-c_{1}})/(0.3821)+(0.0175)/(0.3821)

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x^'=0.0175-0.3821x

x^{^{'}} = 0.0175 - 0.3821 x

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

Solution steps

x^{'} (t) = 0.0175 - 0.3821 x

Solve separable ODE:

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

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

2 \frac{d x}{d t} + \frac{d x}{d t} - 2 x = 1

\frac{d y}{d x} = 2 1 - y^{2}

(2 + t) y^{^{'}} = 3 y

y^{^{'}} = \frac{3 x 16 + y ^{2}}{y}

y^{^{'}} = \frac{6 sin ( x )}{sin ( y )}

What is the solution for x^'=0.0175-0.3821x ?
The solution for x^'=0.0175-0.3821x is x=-(e^{-0.3821t-c_{1}})/(0.3821)+(0.0175)/(0.3821)