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Beliebt Rechnen >

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

Lösung

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

Lösung

x = c_{1} + c_{2} e^{- 6 t} - \frac{3 t}{2}

Schritte zur Lösung

x^{''} (t) + 6 x^{'} (t) + 9 = 0

Solve linear ODE:

x = c_{1} + c_{2} e^{- 6 t} - \frac{3 t}{2}

x = c_{1} + c_{2} e^{- 6 t} - \frac{3 t}{2}

Graph

Beliebte Beispiele

x^{''}-x=-4e^{-t}

x^{^{''}} - x = - 4 e^{- t}

(d^2y)/(dx^2)+y=e^x

\frac{d ^{2} y}{d x ^{2}} + y = e^{x}

0.1x^{''}+10x=100sin(ct)

0.1 x^{^{''}} + 10 x = 100 sin (c t)

y^{''}-2y^'+y=x(cosh(x))

y^{^{''}} - 2 y^{^{'}} + y = x (cosh (x))

y^{''}-3y^'+2y=e^{3t},y(0)=-1,y^'(0)=-4

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{3 t}, y (0) = - 1, y^{^{'}} (0) = - 4