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Beliebt Rechnen >

y^{''}-7y^'+12y=0,y(0)=3,y^'(0)=0

Lösung

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = 3, y^{^{'}} (0) = 0

Lösung

y = - 9 e^{4 t} + 12 e^{3 t}

Schritte zur Lösung

y^{''} (t) - 7 y^{'} (t) + 12 y = 0

Solve linear ODE:

y = - 9 e^{4 t} + 12 e^{3 t}

y = - 9 e^{4 t} + 12 e^{3 t}

Graph

Beliebte Beispiele

x^{''}+5x^'-6x=0

x^{^{''}} + 5 x^{^{'}} - 6 x = 0

2y^{''}+6y^'+8y=0

2 y^{^{''}} + 6 y^{^{'}} + 8 y = 0

y^{'''}-y^{''}+2y^'-2y=0

y^{^{'''}} - y^{^{''}} + 2 y^{^{'}} - 2 y = 0

- 2 y^{^{''}} + y = 0

y^{''}-3y^'-4y=0,y(0)=3,y^'(0)=2

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = 3, y^{^{'}} (0) = 2