x^'+3/200 x=0.06

解答

x^{^{'}} + \frac{3}{200} x = 0.06

x = - \frac{e ^{- 0.015 t - c_{1}}}{0.015} + \frac{0.06}{0.015}

求解步骤

x^{'} (t) + \frac{3}{200} x = 0.06

求解可分离方程:

x = - \frac{e ^{- 0.015 t - c_{1}}}{0.015} + \frac{0.06}{0.015}

x = - \frac{e ^{- 0.015 t - c_{1}}}{0.015} + \frac{0.06}{0.015}

\frac{d y}{d x} - x y = x y^{3}

\frac{d y}{d x} = \frac{3 y - 1}{x}

2 y^{^{'}} = - n^{2} y

y^{^{'}} = 36 y^{2} x^{5}

y^{^{'}} = \frac{( y \frac{( x )}{x} ) ^{2}}{( - 1 + y \frac{( x )}{x} )}