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Beliebt Rechnen >

(dy)/(dx)+2y-8e^{-x}=0,y(0)=7

Lösung

\frac{d y}{d x} + 2 y - 8 e^{- x} = 0, y (0) = 7

Lösung

y = \frac{8}{e ^{x}} - \frac{1}{e ^{2 x}}

Schritte zur Lösung

\frac{d y}{d x} + 2 y - 8 e^{- x} = 0

Solve linear ODE:

y = \frac{8}{e ^{x}} - \frac{1}{e ^{2 x}}

y = \frac{8}{e ^{x}} - \frac{1}{e ^{2 x}}

Graph

Beliebte Beispiele

integral from 0 to 1 of (e^x)-(xe^{x^2})

\int_{0}^{1} (e^{x}) - (x e^{x^{2}}) d x

integral of (1+x^2)/(x-x^3)

\int \frac{1 + x ^{2}}{x - x ^{3}} d x

integral of 1/(sqrt(196-x^2))

\int \frac{1}{196 - x ^{2}} d x

integral of (5-2x)^9

\int (5 - 2 x)^{9} d x

limit as x approaches infinity of xsin((2pi)/x)

x \to \infty lim (x sin (\frac{2 π}{x}))