x^'=0.0175-0.3821x

解答

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

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

求解步骤

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

求解可分离方程:

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

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

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

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

(\frac{d x}{d t}) = - x