(dy)/(dt)=100-y,y(0)=15

解答

\frac{d y}{d t} = 100 - y, y (0) = 15

y = - 85 e^{- t} + 100

求解步骤

\frac{d y}{d t} = 100 - y

求解可分离方程:

y = - 85 e^{- t} + 100

y = - 85 e^{- t} + 100

d er i v a t i v e (2 x - 1)^{2} (x^{3} + 1)^{2}

d er i v a t i v e y = cos (\frac{π t}{4} - \frac{π}{3})

\int \frac{2}{x ^{5}} d x

\int cot (u) d u

y^{^{'}} = 2 x (x - 2)