1/2 (dy)/(dt)+10y=12,y(0)=0

Lösung

\frac{1}{2} \frac{d y}{d t} + 10 y = 12, y (0) = 0

y = - \frac{6 e ^{- 20 t}}{5} + \frac{6}{5}

Schritte zur Lösung

\frac{1}{2} \frac{d y}{d t} + 10 y = 12

Solve separable ODE:

y = - \frac{6 e ^{- 20 t}}{5} + \frac{6}{5}

y = - \frac{6 e ^{- 20 t}}{5} + \frac{6}{5}

y^{^{'}} = \frac{6 x y ^{3}}{e ^{3 x}}

\frac{d y}{d t} = 1 - 0.01 y, y (0) = 5

\frac{d y}{d t} + 6 y = 5

(y^{2} + y) - x y^{^{'}} = 0

x^{3} + 2 y \frac{d y}{d x} = 0