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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{e ^{3 t} ( - 6 + 2 c _{2} )}{3} + c_{2} e^{- 2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{e ^{3 t} ( - 6 + 2 c _{2} )}{3} + c_{2} e^{- 2 t}

y = \frac{e ^{3 t} ( - 6 + 2 c _{2} )}{3} + c_{2} e^{- 2 t}

Graph

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