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Beliebt Rechnen >

x^{''}-x^'-6x=0,x(0)=2,x^'(0)=-1

Lösung

x^{^{''}} - x^{^{'}} - 6 x = 0, x (0) = 2, x^{^{'}} (0) = - 1

Lösung

x = (2 - \frac{7}{5}) e^{3 t} + \frac{7}{5} e^{- 2 t}

Schritte zur Lösung

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

Solve linear ODE:

x = (2 - \frac{7}{5}) e^{3 t} + \frac{7}{5} e^{- 2 t}

x = (2 - \frac{7}{5}) e^{3 t} + \frac{7}{5} e^{- 2 t}

Graph

Beliebte Beispiele

y^{'''}+3y^{''}-6y^'-8y=0

y^{^{'''}} + 3 y^{^{''}} - 6 y^{^{'}} - 8 y = 0

(d^2y)/(dx^2)+2(dy)/(dx)-15y=0

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 15 y = 0

y^{^{''}} = 10 y

(d^2y)/(dx^2)=a^2y

\frac{d ^{2} y}{d x ^{2}} = a^{2} y

y^{^{''}} + 6 y + 9 y = 0