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Beliebt Rechnen >

(dy)/(dt)+ay=b

Lösung

\frac{d y}{d t} + a y = b

Lösung

y = - \frac{e ^{- a t - c_{1} a}}{a} + \frac{b}{a}

Schritte zur Lösung

\frac{d y}{d t} + a y = b

Solve separable ODE:

y = - \frac{e ^{- a t - c_{1} a}}{a} + \frac{b}{a}

y = - \frac{e ^{- a t - c_{1} a}}{a} + \frac{b}{a}

Graph

Beliebte Beispiele

tangent 2sqrt(x)

t an g e n t 2 x

integral of x/(5x-4)

\int \frac{x}{5 x - 4} d x

integral of x(sqrt(a^2-x^2))

\int x (a^{2} - x^{2}) d x

limit as x approaches pi-of 4x

x \to π - lim (4 x)

derivative of 500x-(x^2/(ln(x+300)))

\frac{d}{d x} (500 x - \frac{x ^{2}}{ln ( x + 300 )})