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Beliebt Rechnen >

(dy)/(dt)+20y=2,4= 6/5-6/5 e^{-20t}

Lösung

\frac{d y}{d t} + 20 y = 2, 4 = \frac{6}{5} - \frac{6}{5} e^{- 20 t}

Lösung

y = - \frac{e ^{- 20 t - c_{1}}}{10} + \frac{1}{10}

Schritte zur Lösung

\frac{d y}{d t} + 20 y = 2

Solve separable ODE:

y = - \frac{e ^{- 20 t - c_{1}}}{10} + \frac{1}{10}

y = - \frac{e ^{- 20 t - c_{1}}}{10} + \frac{1}{10}

Graph

Beliebte Beispiele

y^'=(xsqrt(y))/(e^{sqrt(y))},y(0)=0

y^{^{'}} = \frac{x y}{e ^{y}}, y (0) = 0

\frac{d y}{d t} + 3 y = 2

\frac{d y}{d t} + 3 y = 5

(dy)/(dx)=-6/4 x^5y^8

\frac{d y}{d x} = - \frac{6}{4} x^{5} y^{8}

36y^'+92y=413262

36 y^{^{'}} + 92 y = 413262