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Beliebt Rechnen >

y^{''}-y^'-6y=20e^{-2x}

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 20 e^{- 2 x}

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - 4 x e^{- 2 x}

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 20 e^{- 2 x}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - 4 x e^{- 2 x}

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - 4 x e^{- 2 x}

Graph

Beliebte Beispiele

2y^{'''}+3y^{''}-8y^'+3y=0

2 y^{^{'''}} + 3 y^{^{''}} - 8 y^{^{'}} + 3 y = 0

derivative of sqrt(x^2+1)-x

\frac{d}{d x} (x^{2} + 1 - x)

limit as x approaches 3 of x+2

x \to 3 lim (x + 2)

tangent f(x)=x^2+4x

t an g e n t f (x) = x^{2} + 4 x

integral of (x^2)/(x^4-2x^2-8)

\int \frac{x ^{2}}{x ^{4} - 2 x ^{2} - 8} d x