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Beliebt Rechnen >

y^{''}-y^'-6y=0,y(0)=1,y^'(0)=-1

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

Lösung

y = (1 - \frac{4}{5}) e^{3 t} + \frac{4}{5} e^{- 2 t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 6 y = 0

Solve linear ODE:

y = (1 - \frac{4}{5}) e^{3 t} + \frac{4}{5} e^{- 2 t}

y = (1 - \frac{4}{5}) e^{3 t} + \frac{4}{5} e^{- 2 t}

Graph

Beliebte Beispiele

integral of ((3x^2))/2

\int \frac{( 3 x ^{2} )}{2} d x

derivative of e^{x^2+6x}

\frac{d}{d x} (e^{x^{2} + 6 x})

integral of (5x+1)^4

\int (5 x + 1)^{4} d x

(d^2)/(dx^2)(1/(x^2+1))

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

derivative f(x)=9-|x-4|\at x

d er i v a t i v e f (x) = 9 - ∣ x - 4 ∣ at x