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Beliebt Rechnen >

y^{''}-11y^'-42y=0

Lösung

y^{^{''}} - 11 y^{^{'}} - 42 y = 0

Lösung

y = c_{1} e^{14 t} + c_{2} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) - 11 y^{'} (t) - 42 y = 0

Solve linear ODE:

y = c_{1} e^{14 t} + c_{2} e^{- 3 t}

y = c_{1} e^{14 t} + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

y^{''}+y^'+(1+a)y=0

y^{^{''}} + y^{^{'}} + (1 + a) y = 0

y^{^{''}} + 169 y = 0

y^{''}-6y^'+8y=0,y(0)=0,y^'(0)=-2

y^{^{''}} - 6 y^{^{'}} + 8 y = 0, y (0) = 0, y^{^{'}} (0) = - 2

y^{^{'''}} + k y = 0

y^{''}+2y^'=0,y(0)=-28,y^'(0)=2

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = - 28, y^{^{'}} (0) = 2