(dh)/(dt)=kh(t)^n

Lösung

\frac{d h}{d t} = k h^{n}

h = e^{\frac{k t ^{n + 1}}{n + 1} + c_{1}}

Schritte zur Lösung

\frac{d h}{d t} = kh t^{n}

Solve separable ODE:

h = e^{\frac{k t ^{n + 1}}{n + 1} + c_{1}}

h = e^{\frac{k t ^{n + 1}}{n + 1} + c_{1}}

x + \frac{y d y}{d x} = 2

y + 4 y^{^{'}} + 5 y = 0

(t^{2} + 1) x^{^{'}} = - 3 t x + 6 t

y^{^{'}} = y (0.1 - 1 0^{- 7} y)

x y^{^{'}} + y = y^{- 8}