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Beliebt Rechnen >

y^{''}-2y^'-8y=-8t-18,y(0)=1,y^'(0)=28

Lösung

y^{^{''}} - 2 y^{^{'}} - 8 y = - 8 t - 18, y (0) = 1, y^{^{'}} (0) = 28

Lösung

y = (\frac{31}{6} - 1) e^{4 t} - \frac{31}{6} e^{- 2 t} + t + 2

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 8 y = - 8 t - 18

Solve linear ODE:

y = (\frac{31}{6} - 1) e^{4 t} - \frac{31}{6} e^{- 2 t} + t + 2

y = (\frac{31}{6} - 1) e^{4 t} - \frac{31}{6} e^{- 2 t} + t + 2

Graph

Beliebte Beispiele

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

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

y^{''}-y=2t^2-t+3e^{-3t}

y^{^{''}} - y = 2 t^{2} - t + 3 e^{- 3 t}

q^{''}+0.1q^'+q=vsin(0.5t),q(0)=0

q^{^{''}} + 0.1 q^{^{'}} + q = v sin (0.5 t), q (0) = 0

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

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

y^{''}+4y^'+3y=30e^{2t}

y^{^{''}} + 4 y^{^{'}} + 3 y = 30 e^{2 t}