1/y dx-x/(y^2)dy=0

解答

\frac{1}{y} d x - \frac{x}{y ^{2}} d y = 0

y = c_{1} x

求解步骤

\frac{1}{y} d x - \frac{x}{y ^{2}} d y = 0

求解可分离方程:

y = c_{1} x

y = c_{1} x

y y^{^{'}} = 3 x^{3} - 5

y^{^{'}} = - y^{2}, y (0) = 0.5

\frac{d p}{d t} = e^{p - t}

\frac{x}{250} + 1 \cdot 1 0^{- 9} \frac{d x}{d t} = \frac{5}{100000}

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