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Beliebt Rechnen >

x^{''}+8x^'+11x=0,x(0)=0,x^'(0)=3

Lösung

x^{^{''}} + 8 x^{^{'}} + 11 x = 0, x (0) = 0, x^{^{'}} (0) = 3

Lösung

x = \frac{3}{2 5} e^{(- 4 + 5) t} - \frac{3}{2 5} e^{(- 4 - 5) t}

Schritte zur Lösung

x^{''} (t) + 8 x^{'} (t) + 11 x = 0

Solve linear ODE:

x = \frac{3}{2 5} e^{(- 4 + 5) t} - \frac{3}{2 5} e^{(- 4 - 5) t}

x = \frac{3}{2 5} e^{(- 4 + 5) t} - \frac{3}{2 5} e^{(- 4 - 5) t}

Graph

Beliebte Beispiele

y^{''}-8y^{''}-9y=0

y^{^{''}} - 8 y^{^{''}} - 9 y = 0

y^{''}+3y^'+2y=0,y(0)= 1/4

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = \frac{1}{4}

y^{''}+(3-a)y^'+2(a-1)y=0

y^{^{''}} + (3 - a) y^{^{'}} + 2 (a - 1) y = 0

(d^2y)/(dx^2)-12(dy)/(dx)-64y=0

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} - 64 y = 0

10/32 y^{''}+1/6 y=0,y(0)= 1/6 ,y^'(0)=-1

\frac{10}{32} y^{^{''}} + \frac{1}{6} y = 0, y (0) = \frac{1}{6}, y^{^{'}} (0) = - 1