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Beliebt Rechnen >

(d^2x)/(dt^2)+6(dx)/(dt)+3x=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 3 x = 0

Lösung

x = c_{1} e^{(- 3 + 6) t} + c_{2} e^{(- 3 - 6) t}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 3 x = 0

Solve linear ODE:

x = c_{1} e^{(- 3 + 6) t} + c_{2} e^{(- 3 - 6) t}

x = c_{1} e^{(- 3 + 6) t} + c_{2} e^{(- 3 - 6) t}

Graph

Beliebte Beispiele

(d^6-4d^4+4d^2)y=0

(d^{6} - 4 d^{4} + 4 d^{2}) y = 0

linear y^{''}+2y^'+y=0

l in e a r y^{^{''}} + 2 y^{^{'}} + y = 0

(d^2y)/(dx^2)=-9y

\frac{d ^{2} y}{d x ^{2}} = - 9 y

y^{''}=7y^'-12y,y^'(0)=1

y^{^{''}} = 7 y^{^{'}} - 12 y, y^{^{'}} (0) = 1

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

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