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Beliebt Rechnen >

linear y^{''}-3y^'-4y=0

Lösung

linear

y^{^{''}} - 3 y^{^{'}} - 4 y = 0

Lösung

y = c_{1} e^{4 t} + c_{2} e^{- t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 4 y = 0

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- t}

y = c_{1} e^{4 t} + c_{2} e^{- t}

Graph

Beliebte Beispiele

3y^{''}+2y^'-y=0,y(0)=1,y^'(0)=-3

3 y^{^{''}} + 2 y^{^{'}} - y = 0, y (0) = 1, y^{^{'}} (0) = - 3

(d^2y)/(dt^2)-4y=0

\frac{d ^{2} y}{d t ^{2}} - 4 y = 0

2u^{''}+7u^'-4\H(t)=0

2 u^{^{''}} + 7 u^{^{'}} - 4 H (t) = 0

3y^{'''}-12y^'-4y^{''}=0

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

5y^{''}-13y^'-6y=0

5 y^{^{''}} - 13 y^{^{'}} - 6 y = 0