(dp)/(dx)=p

解答

\frac{d p}{d x} = p

p = e^{x + c_{1}}

求解步骤

\frac{d p}{d x} = p

求解可分离方程:

p = e^{x + c_{1}}

p = e^{x + c_{1}}

\frac{d x}{d t} = 0.1 x - 186

\frac{d Q}{d t} = 300 + 6 Q

y^{^{'}} = \frac{3 t ^{2} y}{y + 1}, y (2) = 1

\frac{d x}{d t} = e^{- x} cos (3 t), x (0) = 1

x^{2} cos^{2} (y) d x + x^{3} d y = 0