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Beliebt Rechnen >

y^{''}-y^'-6y=0,y(0)=2,y^'(0)=2

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 0, y (0) = 2, y^{^{'}} (0) = 2

Lösung

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

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

Graph

Beliebte Beispiele

integral from 1 to 3 of (2x^2-2x+3)

\int_{1}^{3} (2 x^{2} - 2 x + 3) d x

integral of sin((npix)/l)

\int sin (\frac{nπ x}{l}) d x

integral from 0 to 3y-5 of xy^2

\int_{0}^{3 y - 5} x y^{2} d x

integral of e^{-y^2}

\int e^{- y^{2}} d y

tangent y= 2/x ,(-3,-2/3)

t an g e n t y = \frac{2}{x}, (- 3, - \frac{2}{3})