(dy}{dt}=\frac{4t)/k-0.1yt

解答

\frac{d y}{d t} = \frac{4 t}{k} - 0.1 y t

y = - \frac{10 e ^{\frac{- t ^{2} - c _{1}}{20}}}{k} + \frac{40}{k}

求解步骤

\frac{d y}{d t} = \frac{4 t}{k} - 0.1 y t

求解可分离方程:

y = - \frac{10 e ^{\frac{- t ^{2} - c _{1}}{20}}}{k} + \frac{40}{k}

y = - \frac{10 e ^{\frac{- t ^{2} - c _{1}}{20}}}{k} + \frac{40}{k}

\int_{0}^{π} 8 sin^{4} (x) d x

d er i v a t i v e ln (sec (3 x) + tan (3 x))

\int 2 e^{- 2 x} sin (x) d x

\frac{\partial}{\partial y} (e^{x} ln (y))

\frac{d}{d y} (y sin (x y))