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Beliebt Rechnen >

y^{''}+4y^'+13y^'=0

Lösung

y^{^{''}} + 4 y^{^{'}} + 13 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- 17 t}

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 13 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- 17 t}

y = c_{1} + c_{2} e^{- 17 t}

Graph

Beliebte Beispiele

y^{''}-5y^'-2a^2y=0

y^{^{''}} - 5 y^{^{'}} - 2 a^{2} y = 0

y^{''}+36y=0,y(0)=4,y^'(0)=-4

y^{^{''}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = - 4

(d^2y)/(dx^2)+3(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} = 0

x^{''}-x^'-1=-1

x^{^{''}} - x^{^{'}} - 1 = - 1

49y^{'''}+28y^{''}+4y^'=0

49 y^{^{'''}} + 28 y^{^{''}} + 4 y^{^{'}} = 0