y^'=8-y/(200)4,y(0)=50

解答

y^{^{'}} = 8 - \frac{y}{200} 4, y (0) = 50

y = - 350 e^{- \frac{t}{50}} + 400

求解步骤

y^{'} (t) = 8 - \frac{y}{200} 4

求解可分离方程:

y = - 350 e^{- \frac{t}{50}} + 400

y = - 350 e^{- \frac{t}{50}} + 400

x \to \frac{π}{4} lim (sin (2 x))

\int_{- 1}^{2} \frac{x ^{2}}{3} d x

\frac{d}{d x} (\frac{4 sin ( x )}{5 cos ( y )})

t an g e n t f (x) = 2 x^{2} - 5 x + 2, at x = a

x^{4} + 5 y^{4} \frac{x ^{5} + 4 d y}{d x} = 0, y (0) = 1