(dt)/(dx)=(8t)/(x+5)

解答

\frac{d t}{d x} = \frac{8 t}{x + 5}

x = c_{1} 8 t - 5

求解步骤

\frac{d}{d x} (t) = \frac{8 t}{x + 5}

求解可分离方程:

x = c_{1} 8 t - 5

x = c_{1} 8 t - 5

\frac{d x}{d t} = 75 - \frac{x}{100}, x = 2000, t = 0

y^{^{'}} = \frac{( 4 t )}{y}

y^{^{'}} = - \frac{x}{( y - 3 )}

y^{^{'}} = k (\frac{x ^{1.4}}{2.4}) (y - 100)

\frac{d y}{d x} = \frac{x ^{2}}{1 + y ^{2}}, y (2) = 1