(dP)/(dt)+9/140 P=27

Lösung

\frac{d P}{d t} + \frac{9}{140} P = 27

P = - \frac{e ^{\frac{- 9 t - c _{1}}{140}}}{9} + 420

Schritte zur Lösung

\frac{d P}{d t} + \frac{9}{140} P = 27

Solve separable ODE:

P = - \frac{e ^{\frac{- 9 t - c _{1}}{140}}}{9} + 420

P = - \frac{e ^{\frac{- 9 t - c _{1}}{140}}}{9} + 420

x y y^{^{'}} = 1 - x^{3}

\frac{d y}{d x} = 6 x y + 8 y

\frac{y ^{^{'}}}{x} - \frac{e ^{x}}{y} = 0

y^{^{'}} = (y - 1)^{2}, y (0) = 0

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