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Beliebt Rechnen >

y^'+ky=e^{-kx}

Lösung

y^{^{'}} + k y = e^{- k x}

Lösung

y = \frac{x}{e ^{k x}} + \frac{c _{1}}{e ^{k x}}

Schritte zur Lösung

y^{'} (x) + k y = e^{- k x}

Solve linear ODE:

y = \frac{x}{e ^{k x}} + \frac{c _{1}}{e ^{k x}}

y = \frac{x}{e ^{k x}} + \frac{c _{1}}{e ^{k x}}

Graph

Beliebte Beispiele

derivative sqrt(x)(1-5sqrt(x))

d er i v a t i v e x (1 - 5 x)

integral of 8/9 x^{-1/9}

\int \frac{8}{9} x^{- \frac{1}{9}} d x

limit as x approaches 3 of 3x

x \to 3 lim (3 x)

integral of 1/9 x^2

\int \frac{1}{9} x^{2} d x

derivative of (((4x^3+2x^2)/(sin(x)))^2)

\frac{d}{d x} (\frac{( 4 x ^{3} + 2 x ^{2} )}{sin ( x )})^{2}