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Beliebt Rechnen >

(dy)/(dx)=e^{4x}

Lösung

\frac{d y}{d x} = e^{4 x}

Lösung

y = \frac{1}{4} e^{4 x} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = e^{4 x}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = e^{4 x}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int e^{4 x} d x

\int e^{4 x} d x = \frac{1}{4} e^{4 x} + c_{1}

y = \frac{1}{4} e^{4 x} + c_{1}

Graph

Beliebte Beispiele

maclaurin x^2e^{-x^2}

ma c l a u r in x^{2} e^{- x^{2}}

derivative sqrt(x+3)

d er i v a t i v e x + 3

derivative g(t)=6t^3cos(t)

d er i v a t i v e g (t) = 6 t^{3} cos (t)

extreme f(x)=xy

e x t re m e f (x) = x y

integral from 1 to 4 of x^{3/2}

\int_{1}^{4} x^{\frac{3}{2}} d x