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Beliebt Rechnen >

y^{''}-4y^'-5y=-2,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = - 2, y (0) = 0, y^{^{'}} (0) = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = - 2

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of e^{3x}cos(x)

\frac{d}{d x} (e^{3 x} cos (x))

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

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

integral of (pi-x)cos(pix)

\int (π - x) cos (π x) d x

limit as x approaches 1 of (x-1)/(x^3-1)

x \to 1 lim (\frac{x - 1}{x ^{3} - 1})

y^{''}-4y^'-12y=0

y^{^{''}} - 4 y^{^{'}} - 12 y = 0