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Beliebt Rechnen >

y^{''}+y^'-2y=e^{-x}

Lösung

y^{^{''}} + y^{^{'}} - 2 y = e^{- x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + y^{'} (x) - 2 y = e^{- x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2^{1/x})

\frac{\partial}{\partial x} (2^{\frac{1}{x}})

steigung (3,5),(8,7)

s l o p e (3, 5), (8, 7)

integral of (3x^2-6x^2+sqrt(x))/(x^3)

\int \frac{3 x ^{2} - 6 x ^{2} + x}{x ^{3}} d x

derivative g(w)=9\sqrt[3]{w}

d er i v a t i v e g (w) = 9 3 w

tangent y=sqrt(5x+20),\at x=1

t an g e n t y = 5 x + 20, at x = 1