(dP)/(dt)=P-10

解答

\frac{d P}{d t} = P - 10

P = e^{t + c_{1}} + 10

求解步骤

\frac{d P}{d t} = P - 10

求解可分离方程:

P = e^{t + c_{1}} + 10

P = e^{t + c_{1}} + 10

\frac{1}{y ^{^{'}}} = \frac{2 y}{x}

\frac{( d y )}{( d x ) + 3 y} = x + e^{(- 2 x)}

y^{^{'}} = - x y, y (0) = 1

(sin (x) sin (y)) d y = (cosh (x) cos (y)) d x

\frac{d P}{d t} P = (5000 (2)^{- \frac{t}{10}})