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Beliebt Rechnen >

(dy)/(dt)-2y=3e^{-2t}

Lösung

\frac{d y}{d t} - 2 y = 3 e^{- 2 t}

Lösung

y = - \frac{3}{4 e ^{2 t}} + c_{1} e^{2 t}

Schritte zur Lösung

\frac{d y}{d t} - 2 y = 3 e^{- 2 t}

Solve linear ODE:

y = - \frac{3}{4 e ^{2 t}} + c_{1} e^{2 t}

y = - \frac{3}{4 e ^{2 t}} + c_{1} e^{2 t}

Graph

Beliebte Beispiele

derivative of y=(3x+2)(5x^2+4)

\frac{d}{d x} y = (3 x + 2) (5 x^{2} + 4)

integral of x/(sqrt(x-1)+1)

\int \frac{x}{x - 1 + 1} d x

f(x)=2e^{-x}x-e^{-x}x^2

f (x) = 2 e^{- x} x - e^{- x} x^{2}

derivative (x^2)/(x+5)

d er i v a t i v e \frac{x ^{2}}{x + 5}

fläche 1-2x^2,|x|

a re a 1 - 2 x^{2}, ∣ x ∣