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Beliebt Rechnen >

y^'+y=-e^x

Lösung

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

Lösung

y = - \frac{e ^{x}}{2} + \frac{c _{1}}{e ^{x}}

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{e ^{x}}{2} + \frac{c _{1}}{e ^{x}}

y = - \frac{e ^{x}}{2} + \frac{c _{1}}{e ^{x}}

Graph

Beliebte Beispiele

integral of (x+1)sqrt(7-x)

\int (x + 1) 7 - x d x

integral from 0 to 1 of t^3e^{-2t}

\int_{0}^{1} t^{3} e^{- 2 t} d t

limit as x approaches 0 of (e^x-1)/(x^2)

x \to 0 lim (\frac{e ^{x} - 1}{x ^{2}})

fläche y=x^2-12,y=4x

a re a y = x^{2} - 12, y = 4 x

(dy)/(dx)(2+x)=3y

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